Introduction to Volume

Show your work for each problem.

1.
What does volume measure?
1. a)The space inside a 3D object
2. b)The flat surface of an object
3. c)The weight of an object
4. d)The distance around a shape
Answer: The space inside a 3D object
Volume measures the space inside a 3D object - how much it can hold or how many unit cubes fit inside.
2.
Which unit is used to measure volume?
1. a)kg (kilograms)
2. b)cm (centimeters)
3. c)cm (cubic centimeters)
4. d)cm (square centimeters)
Answer: cm (cubic centimeters)
Volume is measured in cubic units like cm. The exponent 3 tells us it's a 3D measurement (length width height).
3.
What is the formula for the volume of a rectangular prism?
1. a)
2. b)
3. c)
4. d)
Answer:
Volume = length width height. We multiply all three dimensions because volume measures 3D space.
4.
A cube has sides of cm. What is its volume in cm?
Answer: 8
cm. A cube with 2 cm sides can hold 8 unit cubes (1 cm each).
5.
A box is cm long, cm wide, and cm high. What is the volume?
Answer: 24
cm. We multiply all three dimensions to find the volume.
6.
What is the volume of a cube with sides of cm?
Answer: 125
cm.
7.
A box is cm cm cm. What is its volume?
1. a) cm
2. b) cm
3. c) cm
4. d) cm
Answer: cm
cm.
8.
A rectangular prism is cm long, cm wide, and cm high. What is the volume?
Answer: 150
cm.
9.
Which box has the larger volume: Box A ( cm) or Box B ( cm)?
1. a)Cannot determine
2. b)Box B is larger
3. c)Box A is larger
4. d)They have the same volume
Answer: They have the same volume
Box A: cm. Box B: cm. They have the same volume even though they look different!
10.
Find the volume of a box that is cm long, cm wide, and cm high.
Answer: 30
1. What is the length of the box? 5
2. What is the width? 3
3. What is the height? 2
4. Multiply: 15
5. Multiply: 30
11.
A storage container is cm long, cm wide, and cm high. Find its volume.
Answer: 240
1. Write the formula for volume l × w × h
2. What is ? 48
3. What is ? 240
12.
A cube has a volume of cm. What is the length of each side?
Answer: 3
1. For a cube, . What number cubed equals 27? 3
2. Verify: 9
3. Verify: 27
13.
A fish tank is cm long, cm wide, and cm high. How many liters of water can it hold? (1000 cm = 1 liter)
Answer: 30
1. What is ? 1000
2. What is ? 30000
3. The volume is 30000 cm. Divide by 1000 to get liters: 30
14.
A gift box is cm cm cm. What is its volume in cm?
Answer: 576
cm.
15.
A shipping container is m long, m wide, and m high. What is its volume in cubic meters?
Answer: 3
1. What is ? 2
2. What is ? 3
16.
A cube has sides of cm. If you double the length of each side, what is the new volume?
Answer: 8000
1. What is the original volume? () 1000
2. If sides are doubled, new side length is? 20
3. What is ? 400
4. What is ? 8000
17.
A rectangular box has a volume of cm. If the length is cm and the width is cm, what is the height?
Answer: 5
1. What is (length times width)? 24
2. We know: . What is ? 5