Prisms - ISEE Upper Level Quantitative Reasoning
Card 1 of 16
The above diagram shows a rectangular solid. The shaded side is a square. In terms of 
, give the volume of the box.
The above diagram shows a rectangular solid. The shaded side is a square. In terms of
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A square has four sides of equal length, as seen in the diagram below.
The volume of the solid is equal to the product of its length, width, and height, as follows:
.
A square has four sides of equal length, as seen in the diagram below.
The volume of the solid is equal to the product of its length, width, and height, as follows:
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A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Tap to reveal answer
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Find the volume of a rectangular prism via the following:
Where l, w, and h are the length width and height, respectively.
We know our length and width, and we are told that our height is triple the length, so...
Now that we have all our measurements, plug them in and solve:
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Find the volume of a rectangular prism via the following:
Where l, w, and h are the length width and height, respectively.
We know our length and width, and we are told that our height is triple the length, so...
Now that we have all our measurements, plug them in and solve:
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Find the surface area of a non-cubic prism with the following measurements:
Find the surface area of a non-cubic prism with the following measurements:
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The surface area of a non-cubic prism can be determined using the equation:
The surface area of a non-cubic prism can be determined using the equation:
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The above diagram shows a rectangular solid. The shaded side is a square. In terms of 
, give the surface area of the box.
The above diagram shows a rectangular solid. The shaded side is a square. In terms of
Tap to reveal answer
A square has four sides of equal length, as seen in the diagram below.
All six sides are rectangles, so their areas are equal to the products of their dimensions:
Top, bottom, front, back (four surfaces): 
Left, right (two surfaces): 
The total surface area: 
A square has four sides of equal length, as seen in the diagram below.
All six sides are rectangles, so their areas are equal to the products of their dimensions:
Top, bottom, front, back (four surfaces):
Left, right (two surfaces):
The total surface area:
← Didn't Know|Knew It →
Find the surface area of a non-cubic prism with the following measurements:
Find the surface area of a non-cubic prism with the following measurements:
Tap to reveal answer
The surface area of a non-cubic prism can be determined using the equation:
The surface area of a non-cubic prism can be determined using the equation:
← Didn't Know|Knew It →
The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the surface area of the box.
The above diagram shows a rectangular solid. The shaded side is a square. In terms of
Tap to reveal answer
A square has four sides of equal length, as seen in the diagram below.
All six sides are rectangles, so their areas are equal to the products of their dimensions:
Top, bottom, front, back (four surfaces):
Left, right (two surfaces):
The total surface area:
A square has four sides of equal length, as seen in the diagram below.
All six sides are rectangles, so their areas are equal to the products of their dimensions:
Top, bottom, front, back (four surfaces):
Left, right (two surfaces):
The total surface area:
← Didn't Know|Knew It →
The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the volume of the box.
The above diagram shows a rectangular solid. The shaded side is a square. In terms of
Tap to reveal answer
A square has four sides of equal length, as seen in the diagram below.
The volume of the solid is equal to the product of its length, width, and height, as follows:
.
A square has four sides of equal length, as seen in the diagram below.
The volume of the solid is equal to the product of its length, width, and height, as follows:
← Didn't Know|Knew It →
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Tap to reveal answer
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Find the volume of a rectangular prism via the following:
Where l, w, and h are the length width and height, respectively.
We know our length and width, and we are told that our height is triple the length, so...
Now that we have all our measurements, plug them in and solve:
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Find the volume of a rectangular prism via the following:
Where l, w, and h are the length width and height, respectively.
We know our length and width, and we are told that our height is triple the length, so...
Now that we have all our measurements, plug them in and solve:
← Didn't Know|Knew It →
The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the volume of the box.
The above diagram shows a rectangular solid. The shaded side is a square. In terms of
Tap to reveal answer
A square has four sides of equal length, as seen in the diagram below.
The volume of the solid is equal to the product of its length, width, and height, as follows:
.
A square has four sides of equal length, as seen in the diagram below.
The volume of the solid is equal to the product of its length, width, and height, as follows:
← Didn't Know|Knew It →
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Tap to reveal answer
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Find the volume of a rectangular prism via the following:
Where l, w, and h are the length width and height, respectively.
We know our length and width, and we are told that our height is triple the length, so...
Now that we have all our measurements, plug them in and solve:
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Find the volume of a rectangular prism via the following:
Where l, w, and h are the length width and height, respectively.
We know our length and width, and we are told that our height is triple the length, so...
Now that we have all our measurements, plug them in and solve:
← Didn't Know|Knew It →
Find the surface area of a non-cubic prism with the following measurements:
Find the surface area of a non-cubic prism with the following measurements:
Tap to reveal answer
The surface area of a non-cubic prism can be determined using the equation:
The surface area of a non-cubic prism can be determined using the equation:
← Didn't Know|Knew It →
The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the surface area of the box.
The above diagram shows a rectangular solid. The shaded side is a square. In terms of
Tap to reveal answer
A square has four sides of equal length, as seen in the diagram below.
All six sides are rectangles, so their areas are equal to the products of their dimensions:
Top, bottom, front, back (four surfaces):
Left, right (two surfaces):
The total surface area:
A square has four sides of equal length, as seen in the diagram below.
All six sides are rectangles, so their areas are equal to the products of their dimensions:
Top, bottom, front, back (four surfaces):
Left, right (two surfaces):
The total surface area:
← Didn't Know|Knew It →
The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the volume of the box.
The above diagram shows a rectangular solid. The shaded side is a square. In terms of
Tap to reveal answer
A square has four sides of equal length, as seen in the diagram below.
The volume of the solid is equal to the product of its length, width, and height, as follows:
.
A square has four sides of equal length, as seen in the diagram below.
The volume of the solid is equal to the product of its length, width, and height, as follows:
← Didn't Know|Knew It →
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Tap to reveal answer
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Find the volume of a rectangular prism via the following:
Where l, w, and h are the length width and height, respectively.
We know our length and width, and we are told that our height is triple the length, so...
Now that we have all our measurements, plug them in and solve:
A rectangular prism has a width of 3 inches, a length of 6 inches, and a height triple its length. Find the volume of the prism.
Find the volume of a rectangular prism via the following:
Where l, w, and h are the length width and height, respectively.
We know our length and width, and we are told that our height is triple the length, so...
Now that we have all our measurements, plug them in and solve:
← Didn't Know|Knew It →
Find the surface area of a non-cubic prism with the following measurements:
Find the surface area of a non-cubic prism with the following measurements:
Tap to reveal answer
The surface area of a non-cubic prism can be determined using the equation:
The surface area of a non-cubic prism can be determined using the equation:
← Didn't Know|Knew It →
The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the surface area of the box.
The above diagram shows a rectangular solid. The shaded side is a square. In terms of
Tap to reveal answer
A square has four sides of equal length, as seen in the diagram below.
All six sides are rectangles, so their areas are equal to the products of their dimensions:
Top, bottom, front, back (four surfaces):
Left, right (two surfaces):
The total surface area:
A square has four sides of equal length, as seen in the diagram below.
All six sides are rectangles, so their areas are equal to the products of their dimensions:
Top, bottom, front, back (four surfaces):
Left, right (two surfaces):
The total surface area:
← Didn't Know|Knew It →