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GED Math : GED Math

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Volume Of A Rectangular Solid

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

Possible Answers:

$18 \textup{ in}^3$

$36 \textup{ in}^2$

$18 \textup{ in}^2$

$72 \textup{ in}^3$

$36 \textup{ in}^3$

Correct answer:

$36 \textup{ in}^3$

Explanation:

The volume of a rectangular prism can be represented as:

V= LWH

Substitute the dimensions into the formula.

$V = (3 \textup{ in}) (6 \textup{ in}) (2 \textup{ in}) = 36 \textup{ in}^3$

Be sure that inches is cubed for volume.

The answer is: $36 \textup{ in}^3$

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Example Question #4 : Volume Of A Rectangular Solid

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:

$72\textup{ in}$

$27\textup{ in}^3$

$36\textup{ in}^3$

$72\textup{ in}^3$

$72\textup{ in}^2$

Correct answer:

$72\textup{ in}^3$

Explanation:

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

The volume for a rectangular solid is:

A=LWH

Substitute the dimensions.

$A =(6\textup{ in})(4\textup{ in})(3\textup{ in}) = 72\textup{ in}^3$

The answer is: $72\textup{ in}^3$

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Example Question #2 : Volume Of A Rectangular Solid

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

Possible Answers:

120

240

360

720

Correct answer:

120

Explanation:

Write the volume for the rectangular solid.

V=LWH

Substitute the dimensions into the formula.

$V = 4\times 5\times 6 = 120$

The answer is: 120

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Example Question #3 : Volume Of A Rectangular Solid

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

Possible Answers:

2880

1440

960

448

720

Correct answer:

1440

Explanation:

Write the volume for a rectangular solid.

V=LWH

Substitute the dimensions into the formula.

$V= 6\times 12\times 20 = 1440$

The answer is: 1440

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Example Question #4 : Volume Of A Rectangular Solid

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:

$11\textup{ in}^3$

$29\textup{ in}^3$

$28\textup{ in}$

$12\textup{ in}^3$

$28\textup{ in}^3$

Correct answer:

$28\textup{ in}^3$

Explanation:

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

V= LWH

Substitute the dimensions into the equation.

$V= (7 \textup{ in})(4\textup{ in})(1\textup{ in}) = 28\textup{ in}^3$

The answer is: $28\textup{ in}^3$

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Example Question #1551 : Ged Math

Tammy has an aquarium in the shape of a rectangular prism. The aquarium has the following dimensions: $12 in \times 16 in \times 30 in$ . In order for her to properly clean the aquarium, she must remove two-thirds of the water in the aquarium. In cubic inches, how much water must she remove?

Possible Answers:

3640

1920

3840

2460

Correct answer:

3840

Explanation:

Start by finding the volume of the rectangular prism.

$\text{Volume}=\text{length}\times \text{width}\times \text{height}$

For the given dimensions,

$\text{Volume}=12\times 16 \times 30=5760$

Since Tammy needs to remove two-thirds of the water, we will need to find two-thirds of the volume.

$(5760)\frac{2}{3}=3840$

Tammy must remove 3840in^3 of water.

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Example Question #1551 : Ged Math

If a brick is a rectangular sold, what is its volume if its base area is 4, and the height is 5?

Possible Answers:

160

400

Correct answer:

Explanation:

Write the formula for the area of a rectangular solid.

V =LWH

The base area consists of , which means we can substitute the area as replacement of the two variables.

V =LWH = (4)(5) = 20

The answer is:

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Example Question #41 : 3 Dimensional Geometry

For an art project, Amy needs to paint a rectangular box with the dimensions $4in\times 6in \times 10in$ red, blue, and yellow. Each color must take up one-third of the painted surface. In square inches, how much blue paint is needed?

Possible Answers:

78.33

82.67

85.67

66.33

Correct answer:

82.67

Explanation:

Since Amy is painting the outside of a box, we will need to find the surface area of the box.

Recall how to find the surface area of a rectangular prism:

$\text{Surface Area}=2(wl+hl+hw)$ , where is the width, is the height, and is the length.

Because we are only interested in the amount of blue paint that Amy will be painting, we know that we will need to find one-third of the surface area.

$\text{Area of Blue Paint}=\frac{\text{Surface Area}}{3}=\frac{2(wl+hl+hw)}{3}$

Plug in the dimensions of the box to find the area of the blue paint.

$\text{Area of Blue Paint}=\frac{2((4)(6)+(6)(10)+(4)(10))}{3}=\frac{248}{3}=82.67$

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Example Question #1553 : Ged Math

A rectangular prism has as its three dimensions , , and x+ 6 . Give its volume in terms of .

Possible Answers:

4x+12

$2 x ^{3} +12 x ^{2}$

4x+6

$2 x ^{3} +6x ^{2}$

Correct answer:

$2 x ^{3} +12 x ^{2}$

Explanation:

The volume of a rectangular prism is equal to the product of its three dimensions, so here,

$V= x \cdot 2x \cdot (x+6)$

$=2 \cdot x \cdot x \cdot (x+6)$

$=2 x ^{2} (x+6)$

Apply the distribution property, multiplying $2x^{2}$ by each of the expressions in the parentheses:

$V =2 x ^{2} \cdot x+2 x ^{2} \cdot 6$

$=2 x ^{2+1} +2 \cdot 6 \cdot x ^{2}$

$=2 x ^{3} +12 x ^{2}$

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Example Question #42 : 3 Dimensional Geometry

You are building a metal crate to hold fishing equipment. If the crate will be 1.5 ft long, 2 feet tall, and 5 feet wide, what will its volume be?

Possible Answers:

V=10.5ft^3

V=115ft^3

V=8.5ft^3

V=15ft^3

Correct answer:

V=15ft^3

Explanation:

You are building a metal crate to hold fishing equipment. If the crate will be 1.5 ft long, 2 feet tall, and 5 feet wide, what will its volume be?

We are asked to find the volume of a rectangular solid. In this case it is a metal crate, but it is essentially a rectangular solid. To find its volume, use the following formula:

V=l*w*h

Where, l, w, and h are the length, width and height.

V=1.5ft*2ft*5ft=1.5ft*10ft^2=15ft^3

V=15ft^3

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #3 : Volume Of A Rectangular Solid

Example Question #4 : Volume Of A Rectangular Solid

Example Question #2 : Volume Of A Rectangular Solid

Example Question #3 : Volume Of A Rectangular Solid

Example Question #4 : Volume Of A Rectangular Solid

Example Question #1551 : Ged Math

Example Question #1551 : Ged Math

Example Question #41 : 3 Dimensional Geometry

Example Question #1553 : Ged Math

Example Question #42 : 3 Dimensional Geometry

All GED Math Resources

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