High School Math : How to find the volume of a rectangular solid in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

Rectangle

The drawing above shows the base of a solid rectangular prism.   and .  If the height of the rectangular solid is 3, what is its volume?

Possible Answers:

Correct answer:

Explanation:

Example Question #1 : Volume Of A Figure

What is the volume of a cube with a side of 

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a cube is .

Plug in our given side and solve:

Example Question #2 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

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

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a cube is  or .

For this cube that means .

Take the cube root of both sides:

Example Question #4 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

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

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a rectangular prism is .

Plug in our given information:

Example Question #5 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

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

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a rectangular prism is .

Plug in our given information:

Example Question #6 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

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

Possible Answers:

Correct answer:

Explanation:

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

The equation looks like this:

Cube the side length, , to find the answer:

The answer is .

Example Question #7 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

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

Possible Answers:

Correct answer:

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 .

Example Question #8 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

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

Possible Answers:

Correct answer:

Explanation:

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

The equation looks like this 

Cube the side length,  to find the answer 

The answer is .

Example Question #9 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

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

Possible Answers:

Correct answer:

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 

Multiply to get the answer of .

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