Resources

Resources

Volume of cubes and rectangular prisms: word problems

What is the volume, in cubic centimeters, of a rectangular prism with a height of

20

centimeters, a width of

11

centimeters, and a length of

3

\newline

V=\square

^{3}

What is the volume, in cubic meters, of a rectangular prism with a height of

17

meters, a width of

3

meters, and a length of

9

\newline

V=\square

^{3}

What is the volume, in cubic

\mathrm{ft}

, of a rectangular prism with a height of

7 \mathrm{ft}

20 \mathrm{ft}

, and a length of

15 \mathrm{ft}

\newline

V=\square \mathrm{ft}^{3}

A rectangular prism has a length of

9 \mathrm{~cm}

17 \mathrm{~cm}

, and a width of

4 \mathrm{~cm}

. What is its volume, in cubic cm?

\newline

V=\square \mathrm{cm}^{3}

What is the volume, in cubic inches, of a cube with an edge length of

16

\newline

V=\square

^{3}

What is the volume, in cubic

\mathrm{ft}

, of a rectangular prism with a height of

4 \mathrm{ft}

2 \mathrm{ft}

, and a length of

4 \mathrm{ft}

\newline

V=\square \mathrm{ft}^{3}

What is the volume, in cubic meters, of a rectangular prism with a height of

4

meters, a width of

18

meters, and a length of

20

\newline

V=\square

^{3}

What is the volume, in cubic inches, of a rectangular prism with a height of

19

inches, a width of

11

inches, and a length of

11

\newline

V=\square

^{3}

A rectangular prism has a length of

5

meters, a height of

11

meters, and a width of

17

meters. What is its volume, in cubic meters?

\newline

V=\square

^{3}

What is the volume, in cubic

\mathrm{ft}

, of a rectangular prism with a height of

2 \mathrm{ft}

5 \mathrm{ft}

, and a length of

7 \mathrm{ft}

\newline

V=\square \mathrm{ft}^{3}

What is the volume, in cubic centimeters, of a rectangular prism with a height of

17

centimeters, a width of

7

centimeters, and a length of

16

\newline

V=\square

^{3}

What is the volume, in cubic inches, of a rectangular prism with a height of

7

inches, a width of

12

inches, and a length of

7

\newline

V=\square

^{3}

What is the volume, in cubic

\mathrm{cm}

, of a cube with an edge length of

3 \mathrm{~cm}

\newline

V=\square \mathrm{cm}^{3}

A rectangular prism has a length of

20

meters, a height of

19

meters, and a width of

9

meters. What is its volume, in cubic meters?

\newline

V=\square

^{3}

What is the volume, in cubic feet, of a rectangular prism with a height of

6

feet, a width of

16

feet, and a length of

20

\newline

V=\square

^{3}

A rectangular prism has a length of

9 \mathrm{ft}

7 \mathrm{ft}

, and a width of

12 \mathrm{ft}

. What is its volume, in cubic ft?

\newline

V=\square \mathrm{ft}^{3}

What is the volume of a cylinder with a height of

9.9 \mathrm{~m}

and a base with a diameter of

5.2 \mathrm{~m}

, to the nearest tenth of a cubic meter?

\newline

\mathrm{m}^{3}

Find the volume of a pyramid with a square base, where the side length of the base is

18 \mathrm{~m}

and the height of the pyramid is

11.5 \mathrm{~m}

. Round your answer to the nearest tenth of a cubic meter.

\newline

\mathrm{m}^{3}

What is the volume of a cylinder with a height of

11.7 \mathrm{~cm}

and a base with a diameter of

12 \mathrm{~cm}

, to the nearest tenth of a cubic centimeter?

\newline

\mathrm{cm}^{3}

The volume of a right cone is

216 \pi

^{3}

. If its diameter measures

12

units, find its height.

\newline

The volume of a right cone is

1344 \pi

^{3}

. If its diameter measures

24

units, find its height.

\newline

What is the volume, in cubic inches, of a rectangular prism with a height of

7

inches, a width of

5

inches, and a length of

5

\newline

V=\square

^{3}

A rectangular prism has a length of

2

inches, a height of

16

inches, and a width of

15

inches. What is its volume, in cubic inches?

\newline

V=\square

^{3}

A rectangular prism has a length of

20

meters, a height of

15

meters, and a width of

18

meters. What is its volume, in cubic meters?

\newline

V=\square

^{3}

What is the volume, in cubic meters, of a rectangular prism with a height of

10

meters, a width of

12

meters, and a length of

18

\newline

V=\square

^{3}

What is the volume, in cubic

\mathrm{m}

, of a rectangular prism with a height of

3 \mathrm{~m}

7 \mathrm{~m}

, and a length of

6 \mathrm{~m}

\newline

V=\square \mathrm{m}^{3}

The function models

R

, the revenue, in dollars, from selling a particular board game at a price of

x

dollars. What is the revenue if the board game is sold at a price of

30

\newline

1

\newline

\$500,000

\newline

\$800,000

\newline

\$900,000

\newline

\$1,770,000

A piece of wood has a mass of

m_1

grams and a volume of

V_1

cubic centimeters. A second piece of wood has the same density

\rho

and a volume of

V_2

. What is the mass, in grams, of the second piece of wood?

A cake pan is in the shape of a right rectangular prism

20\,\text{cm}

20\,\text{cm}

5\,\text{cm}

high. The pan contains

1,000\,\text{cm}^3

of batter. Approximately how far is the cake batter from the top of the pan?

\newline

1

\newline

1\,\text{cm}

\newline

2.5\,\text{cm}

\newline

5\,\text{cm}

\newline

7\,\text{cm}

A cylindrical soda can has a volume of

108\pi\ \text{cm}^{3}

and a height of

12\text{cm}

. What is the surface area of the soda can in square centimeters?

\newline

1

\newline

18\pi\text{cm}^{2}

\newline

36\pi\text{cm}^{2}

\newline

72\pi\text{cm}^{2}

\newline

90\pi\text{cm}^{2}

Benjamin invests

\$ 400

in a savings account that earns

5 \%

interest each year.

\newline

Which expression gives the balance in the account after

3

\newline

1

\newline

400 \cdot 0.05 \cdot 0.05 \cdot 0.05

\newline

400+(1+0.05)(1+0.05)(1+0.05)

\newline

400+0.05 \cdot 0.05 \cdot 0.05

\newline

400(1+0.05)(1+0.05)(1+0.05)