How to find the length of an edge of a prism - Math
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The length of a box is 3 times the width. Which of the following gives the length (L inches) in terms of the width (W inches) of the box?
The length of a box is 3 times the width. Which of the following gives the length (L inches) in terms of the width (W inches) of the box?
Tap to reveal answer
When reading word problems, there are certain clues that help interpret what is going on. The word “is” generally means “=” and the word “times” means it will be multiplied by something. Therefore, “the length of a box is 3 times the width” gives you the answer: L = 3 x W, or L = 3W.
When reading word problems, there are certain clues that help interpret what is going on. The word “is” generally means “=” and the word “times” means it will be multiplied by something. Therefore, “the length of a box is 3 times the width” gives you the answer: L = 3 x W, or L = 3W.
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The width of a box, in inches, is 5 inches less than three times its length. Which of the following equations gives the width, W inches, in terms of the length, L inches, of the box?
The width of a box, in inches, is 5 inches less than three times its length. Which of the following equations gives the width, W inches, in terms of the length, L inches, of the box?
Tap to reveal answer
We notice the width is “5 inches less than three times its width,” so we express W as being three times its width (3L) and 5 inches less than that is 3L minus 5. In this case, W is the dependent and L is the independent variable.
W = 3L - 5
We notice the width is “5 inches less than three times its width,” so we express W as being three times its width (3L) and 5 inches less than that is 3L minus 5. In this case, W is the dependent and L is the independent variable.
W = 3L - 5
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The height of a retangular prism is three times its width; its length is twice its width. Its surface area is 1,078 square inches. Give the width of the box.
The height of a retangular prism is three times its width; its length is twice its width. Its surface area is 1,078 square inches. Give the width of the box.
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Since the length of the box is twice the width and the height is three times the width, 
and 
.
The surface area of the box is
To find the width:
Since the length of the box is twice the width and the height is three times the width,
The surface area of the box is
To find the width:
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Find the missing edge of the prism when its volume is 
.
Find the missing edge of the prism when its volume is
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The goal is to find the height of the rectangular prism with the given information of its width and length. The volume of a rectangular prism is 
, where 
is width and 
is height.
Because we're given the final volume and two of the three variables, we can substitute in the information we know and solve for the missing variable.
Therefore, the height of the prism is 
.
The goal is to find the height of the rectangular prism with the given information of its width and length. The volume of a rectangular prism is
Because we're given the final volume and two of the three variables, we can substitute in the information we know and solve for the missing variable.
Therefore, the height of the prism is
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The volume of a prism is 
.
Given the length is 
and the height is 
, find the width of the prism.
The volume of a prism is
Given the length is
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The volume of a prism is length times width times height.
We are given the length is 7m and the width is 5m.
So, we plug these into our formula:
.
We then solve for height:
.
The height is therefore 6m.
The volume of a prism is length times width times height.
We are given the length is 7m and the width is 5m.
So, we plug these into our formula:
We then solve for height:
The height is therefore 6m.
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A rectangular prism has a volume of 
cubic meters. Its length is twice its width, and its height is twice its length. What is the length of the prism?
A rectangular prism has a volume of
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If we let 
be the width of our prism, then since the length is twice the width, our length would be 
. Since the height is twice the length, our height would be 
.
Since the volume of a rectangular prism is simply the product of width, length, and height, we get
We then simply solve for the width.
Therefore, our width is 3. Since our length is twice the width, the length is 6.
If we let
Since the volume of a rectangular prism is simply the product of width, length, and height, we get
We then simply solve for the width.
Therefore, our width is 3. Since our length is twice the width, the length is 6.
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A right, rectangular prism has a volume of 
cubic inches. Its width is 
inches and its height is 
inches. What is its length?
A right, rectangular prism has a volume of
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The formula for the volume of a right, rectangular prism is 
, so substitute the known values and solve for lenght.
. So the length is 8 inches.
The formula for the volume of a right, rectangular prism is
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The surface area of a right rectangular prism is 
square cm. Its length is 
cm and its height is 
cm. Find the width of the prism.
The surface area of a right rectangular prism is
Tap to reveal answer
Use the formula for finding the surface area of a right, rectangular prism,
and substitute the known values, and then solve for w.
So,
So, the width is 7 cm.
Use the formula for finding the surface area of a right, rectangular prism,
and substitute the known values, and then solve for w.
So,
So, the width is 7 cm.
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The length of a box is 3 times the width. Which of the following gives the length (L inches) in terms of the width (W inches) of the box?
The length of a box is 3 times the width. Which of the following gives the length (L inches) in terms of the width (W inches) of the box?
Tap to reveal answer
When reading word problems, there are certain clues that help interpret what is going on. The word “is” generally means “=” and the word “times” means it will be multiplied by something. Therefore, “the length of a box is 3 times the width” gives you the answer: L = 3 x W, or L = 3W.
When reading word problems, there are certain clues that help interpret what is going on. The word “is” generally means “=” and the word “times” means it will be multiplied by something. Therefore, “the length of a box is 3 times the width” gives you the answer: L = 3 x W, or L = 3W.
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The width of a box, in inches, is 5 inches less than three times its length. Which of the following equations gives the width, W inches, in terms of the length, L inches, of the box?
The width of a box, in inches, is 5 inches less than three times its length. Which of the following equations gives the width, W inches, in terms of the length, L inches, of the box?
Tap to reveal answer
We notice the width is “5 inches less than three times its width,” so we express W as being three times its width (3L) and 5 inches less than that is 3L minus 5. In this case, W is the dependent and L is the independent variable.
W = 3L - 5
We notice the width is “5 inches less than three times its width,” so we express W as being three times its width (3L) and 5 inches less than that is 3L minus 5. In this case, W is the dependent and L is the independent variable.
W = 3L - 5
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The length of a box is 3 times the width. Which of the following gives the length (L inches) in terms of the width (W inches) of the box?
The length of a box is 3 times the width. Which of the following gives the length (L inches) in terms of the width (W inches) of the box?
Tap to reveal answer
When reading word problems, there are certain clues that help interpret what is going on. The word “is” generally means “=” and the word “times” means it will be multiplied by something. Therefore, “the length of a box is 3 times the width” gives you the answer: L = 3 x W, or L = 3W.
When reading word problems, there are certain clues that help interpret what is going on. The word “is” generally means “=” and the word “times” means it will be multiplied by something. Therefore, “the length of a box is 3 times the width” gives you the answer: L = 3 x W, or L = 3W.
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The width of a box, in inches, is 5 inches less than three times its length. Which of the following equations gives the width, W inches, in terms of the length, L inches, of the box?
The width of a box, in inches, is 5 inches less than three times its length. Which of the following equations gives the width, W inches, in terms of the length, L inches, of the box?
Tap to reveal answer
We notice the width is “5 inches less than three times its width,” so we express W as being three times its width (3L) and 5 inches less than that is 3L minus 5. In this case, W is the dependent and L is the independent variable.
W = 3L - 5
We notice the width is “5 inches less than three times its width,” so we express W as being three times its width (3L) and 5 inches less than that is 3L minus 5. In this case, W is the dependent and L is the independent variable.
W = 3L - 5
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The height of a retangular prism is three times its width; its length is twice its width. Its surface area is 1,078 square inches. Give the width of the box.
The height of a retangular prism is three times its width; its length is twice its width. Its surface area is 1,078 square inches. Give the width of the box.
Tap to reveal answer
Since the length of the box is twice the width and the height is three times the width, and .
The surface area of the box is
To find the width:
Since the length of the box is twice the width and the height is three times the width,
The surface area of the box is
To find the width:
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Find the missing edge of the prism when its volume is .
Find the missing edge of the prism when its volume is
Tap to reveal answer
The goal is to find the height of the rectangular prism with the given information of its width and length. The volume of a rectangular prism is , where is width and is height.
Because we're given the final volume and two of the three variables, we can substitute in the information we know and solve for the missing variable.
Therefore, the height of the prism is .
The goal is to find the height of the rectangular prism with the given information of its width and length. The volume of a rectangular prism is
Because we're given the final volume and two of the three variables, we can substitute in the information we know and solve for the missing variable.
Therefore, the height of the prism is
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The volume of a prism is .
Given the length is and the height is , find the width of the prism.
The volume of a prism is
Given the length is
Tap to reveal answer
The volume of a prism is length times width times height.
We are given the length is 7m and the width is 5m.
So, we plug these into our formula:
.
We then solve for height:
.
The height is therefore 6m.
The volume of a prism is length times width times height.
We are given the length is 7m and the width is 5m.
So, we plug these into our formula:
We then solve for height:
The height is therefore 6m.
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A rectangular prism has a volume of cubic meters. Its length is twice its width, and its height is twice its length. What is the length of the prism?
A rectangular prism has a volume of
Tap to reveal answer
If we let be the width of our prism, then since the length is twice the width, our length would be . Since the height is twice the length, our height would be .
Since the volume of a rectangular prism is simply the product of width, length, and height, we get
We then simply solve for the width.
Therefore, our width is 3. Since our length is twice the width, the length is 6.
If we let
Since the volume of a rectangular prism is simply the product of width, length, and height, we get
We then simply solve for the width.
Therefore, our width is 3. Since our length is twice the width, the length is 6.
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A right, rectangular prism has a volume of cubic inches. Its width is inches and its height is inches. What is its length?
A right, rectangular prism has a volume of
Tap to reveal answer
The formula for the volume of a right, rectangular prism is , so substitute the known values and solve for lenght.
. So the length is 8 inches.
The formula for the volume of a right, rectangular prism is
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The surface area of a right rectangular prism is square cm. Its length is cm and its height is cm. Find the width of the prism.
The surface area of a right rectangular prism is
Tap to reveal answer
Use the formula for finding the surface area of a right, rectangular prism,
and substitute the known values, and then solve for w.
So,
So, the width is 7 cm.
Use the formula for finding the surface area of a right, rectangular prism,
and substitute the known values, and then solve for w.
So,
So, the width is 7 cm.
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The height of a retangular prism is three times its width; its length is twice its width. Its surface area is 1,078 square inches. Give the width of the box.
The height of a retangular prism is three times its width; its length is twice its width. Its surface area is 1,078 square inches. Give the width of the box.
Tap to reveal answer
Since the length of the box is twice the width and the height is three times the width, and .
The surface area of the box is
To find the width:
Since the length of the box is twice the width and the height is three times the width,
The surface area of the box is
To find the width:
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Find the missing edge of the prism when its volume is .
Find the missing edge of the prism when its volume is
Tap to reveal answer
The goal is to find the height of the rectangular prism with the given information of its width and length. The volume of a rectangular prism is , where is width and is height.
Because we're given the final volume and two of the three variables, we can substitute in the information we know and solve for the missing variable.
Therefore, the height of the prism is .
The goal is to find the height of the rectangular prism with the given information of its width and length. The volume of a rectangular prism is
Because we're given the final volume and two of the three variables, we can substitute in the information we know and solve for the missing variable.
Therefore, the height of the prism is
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