GED Math : Volume of a Rectangular Solid

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #29 : 3 Dimensional Geometry

An aquarium takes the shape of a rectangular prism 60 centimeters high, 60 centimeters wide,  and 120 centimeters long. One-fourth of a cubic meter of water is poured into the aquarium after it has been emptied. How much more water can it hold?

Possible Answers:

Correct answer:

Explanation:

One cubic meter of water is equal to  cubic centimeters; one-fourth of a cubic meter is 250,000 centimeters. The volume of the aquarium is 

 cubic centimeters.

Therefore, after having one-fourth of a cubic meter of water poured in, there is room left for 

 cubic centimeters of water.

Example Question #30 : 3 Dimensional Geometry

A large aquarium has a rectangular base nine meters square and is ten and one-half meters high. The eight inlet pipes used to fill the aquarium does so at a rate of 200 liters per minute each. To the nearest hour, how long does it take for all eight pipes working together to fill the aquarium to 80% capacity?

You will need the conversion factor 1 liter = 1,000 cubic centimeters.

Possible Answers:

Correct answer:

Explanation:

The aquarium is a rectangular prism with dimensions 9 meters by 9 meters by 10.5 meters, each of which can be converted to centimeters by multiplying by 100. So the dimensions are 900 cm x 900 cm x 1,050 cm, and the volume is the product of the three, or

or

80% of this is

Each pipe fills the aquarium at 200 L per minute, so the eight pipes working together fill it at a rate of 1,600 L per minute. Divide, and the aquarium is filled at 80% capacity in

In hours, this is

 

so 7 hours is the correct response.

Example Question #31 : 3 Dimensional Geometry

If a swimming pool is rectangular, and its base area is 20 feet squared, what is the volume if the height of the pool is 8 feet?

Possible Answers:

Correct answer:

Explanation:

The volume of the rectangular solid can be written as:

The length times width constitutes the base of the rectangular solid, and is given in the question.

Substitute the known dimensions into the formula.

The answer is:  

Example Question #32 : 3 Dimensional Geometry

A rectangular wood block has the dimensions of 6 inches, 1 foot, and 8 inches.  What is the volume in feet?

Possible Answers:

Correct answer:

Explanation:

Convert all the dimensions into feet.

Write the formula for the volume of the block.

Substitute the dimensions and solve for volume.

The answer is:  

Example Question #33 : 3 Dimensional Geometry

Find the volume of a rectangular wood block with a length of , width of , and a height of .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a rectangular prism.

Substitute the dimensions into the formula.

The answer is:  

Example Question #34 : 3 Dimensional Geometry

Determine the volume of a brick in inches if its dimensions are 3 inches by 6 inches by 2 inches.

Possible Answers:

 

Correct answer:

 

Explanation:

The volume of a rectangular prism can be represented as:

Substitute the dimensions into the formula.

Be sure that inches is cubed for volume.

The answer is:  

Example Question #35 : 3 Dimensional Geometry

What is the volume of a brick with a length of 6 inches, width of 4 inches, and a height of 3 inches?

Possible Answers:

Correct answer:

Explanation:

The volume of a brick is similar to finding the volume of a rectangular solid.

The volume for a rectangular solid is:

Substitute the dimensions.

The answer is:  

Example Question #36 : 3 Dimensional Geometry

Find the volume of the rectangular solid with a length, width, and height of 4,5,and 6, respectively.

Possible Answers:

Correct answer:

Explanation:

Write the volume for the rectangular solid.

Substitute the dimensions into the formula.

The answer is:  

Example Question #37 : 3 Dimensional Geometry

Find the volume of a rectangular solid if the length, width, and height are 6, 12, and 20, respectively.

Possible Answers:

Correct answer:

Explanation:

Write the volume for a rectangular solid.

Substitute the dimensions into the formula.

The answer is:  

Example Question #38 : 3 Dimensional Geometry

What is the volume of a book with a length of 7 inches, width of 4 inches, and a height of 1 inches?

Possible Answers:

Correct answer:

Explanation:

The book resembles a rectangular solid.  Write the formula for the volume of a rectangular solid.

Substitute the dimensions into the equation.

The answer is:  

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