How to find the volume of a rectangular solid in pre-algebra

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Math › How to find the volume of a rectangular solid in pre-algebra

Questions 1 - 9

1

What is the volume of a cube with a side length of ?

Explanation

To find the volume of a cube you must find the cube root of the side length.

The equation looks like this

$V=s^{3}$

Cube the side length, to find the answer

$V=4^{3}$

The answer is .

2

What is the volume of a rectangular solid with a base of , length of , and height of ?

Explanation

To find the volume of a rectangular solid we must know the equation:

We then plug in our numbers for base, length, and height:

Multiply to get the answer of .

3

What is the volume of a cube with a side of

Explanation

The formula for volume of a cube is .

Plug in our given side and solve:

4

What is the volume of a rectangular solid with a base of , length of , and a height of ?

Explanation

To find the volume of a rectangular solid we must know the equation is

We then plug in our numbers for base, length, and height

$V=8\cdot 5\cdot 9$

Multiply to get the answer of .

5

What is the volume of a cube with a side length of ?

Explanation

To find the volume of a cube you must cube the side length.

The equation looks like this: $Volume=s^{3}$

Cube the side length, , to find the answer: $V=16^{3}$

The answer is .

6

Rectangle

The drawing above shows the base of a solid rectangular prism. $\overline{AB}=10$ and $\overline{BC}=6$ . If the height of the rectangular solid is 3, what is its volume?

Explanation

$VOLUME = BASE \ast WIDTH \astHEIGHT$

$VOLUME = 10\ast6\ast3=180$

7

What is the side of a cube if its volume is ?

Explanation

The formula for volume of a cube is or .

For this cube that means .

Take the cube root of both sides:

$\sqrt[3]{125}=\sqrt[3]{s^3}$

8

What is the volume of a rectangular prism with a length of , height of , and width of ?

Explanation

The formula for volume of a rectangular prism is .

Plug in our given information:

9

What is the volume of a rectangular prism with a length of , width of , and height of ?

Explanation

The formula for volume of a rectangular prism is .

Plug in our given information:

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