Volume of Cubes

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Show your work for each problem.

1.
Which formula gives the volume of a cube with edge $s$ ?
1. a) $V = s^2$
2. b) $V = s^3$
3. c) $V = 3s$
4. d) $V = 6s^2$
2.
What is the volume of a cube with an edge of $4$ cm?
1. a)48 cm³
2. b)12 cm³
3. c)16 cm³
4. d)64 cm³
3.
The edge of a cube is doubled. By how much is the volume multiplied?
1. a) $\times 2$
2. b) $\times 8$
3. c) $\times 4$
4. d) $\times 6$
4.
Which of these numbers is a perfect cube?
1. a)16
2. b)36
3. c)125
4. d)100
5.
Cube A has an edge of $2$ cm and cube B has an edge of $6$ cm. How many times larger is the volume of cube B?
1. a)27
2. b)3
3. c)216
4. d)9
6.
A cube has an edge of $3$ m. What is its volume in m³? Write only the number.
7.
What is the volume in cm³ of a cube with an edge of $10$ cm? Write only the number.
8.
A small cube has an edge of $1.5$ cm. What is its volume in cm³? Write only the number.
9.
A cube has a volume of $216$ cm³. How long is its edge in cm? Write only the number.
10.
A cube-shaped water tank has an inside edge of $50$ cm. How many liters of water does it hold? ( $1$ L $= 1000$ cm³) Write only the number.
11.
Find the volume of a cube with an edge of $7$ cm.
12.
A big cube is built from small $1$ cm cubes, with $4$ small cubes along each edge. How many small cubes are used?
13.
A cube-shaped box has an edge of $0.4$ m. Find its volume in m³.
14.
A cube has a volume of $512$ cm³. Find the length of its edge.
15.
A cube has an edge of $5$ cm. Its edge is doubled. How many times larger does the volume get?
16.
A cube-shaped aquarium has an inside edge of $60$ cm. How many liters of water does it hold when full? ( $1$ L $= 1000$ cm³)
17.
A cube has a volume of $27$ m³. Each edge is made $1$ m longer. What is the new volume in m³?
18.
A cube-shaped box has an inside edge of $12$ cm. How many small cubes with a $2$ cm edge fit inside it?