Testinar Grade 5 math

Understanding Volume

Students will understand volume as an attribute of solid figures measured in cubic units.

CH09-01 Volume

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

A storage box is filled with 3 layers of unit cubes. Each layer has 4 unit cubes. What is the volume of the box?
1. 7 cubic units
2. 12 cubic units
3. 24 square units
4. 3 units
A rectangular prism is built from unit cubes arranged in 3 layers. Each layer has 4 rows and 5 columns of cubes. How many unit cubes are in the entire prism?
1. 12
2. 20
3. 60
4. 80
Which of the following is the best metric unit for measuring the volume of a small juice box?
1. Cubic meters
2. Cubic feet
3. Cubic centimeters
4. Cubic inches
A rectangular prism has a volume of 24 cubic units. Which dimensions could create this volume?
1. Length 2, width 3, height 3
2. Length 2, width 4, height 3
3. Length 2, width 2, height 5
4. Length 3, width 3, height 2
What is the volume of a rectangular prism with length 6 cm, width 4 cm, and height 2 cm?
1. 12 cubic cm
2. 24 cubic cm
3. 36 cubic cm
4. 48 cubic cm
Two rectangular prisms have the same base dimensions of 3 in. \(\times\) 4 in. Prism A is 5 inches tall, and Prism B is 3 inches tall. What is the difference in their volumes?
1. 12 cubic in.
2. 60 cubic in.
3. 36 cubic in.
4. 24 cubic in.
A cubic meter is made of how many cubic centimeters?
1. 100
2. 1,000
3. 100,000
4. 1,000,000
A rectangular prism has dimensions 3 by 1 by 2 unit cubes. What is its volume?
1. 4 cubic units
2. 12 cubic units
3. 8 cubic units
4. 6 cubic units

Teacher and parent reference

Answer key and explanations

B. 12 cubic units
Volume describes how many unit cubes fit inside a solid. With 3 layers of 4 cubes, the volume is \(3\times4=12\) cubic units.
C. 60
\(5 \times 4 \times 3 = 60\) unit cubes. Volume is the product of length, width, and height.
C. Cubic centimeters
A small juice box needs a small unit. In the metric system, cubic centimeters are a good fit. Cubic meters are too large, and cubic feet or cubic inches are customary units rather than metric units.
B. Length 2, width 4, height 3
\(2 \times 4 \times 3 = 24\) cubic units. Choice A: \(2 \times 3 \times 3 = 18\). Choice C: \(2 \times 2 \times 5 = 20\). Choice D: \(3 \times 3 \times 2 = 18\).
D. 48 cubic cm
\(V = l \times w \times h = 6 \times 4 \times 2 = 48\) cubic centimeters.
D. 24 cubic in.
Prism A: \(3 \times 4 \times 5 = 60\) cu. in. Prism B: \(3 \times 4 \times 3 = 36\) cu. in. Difference: \(60 - 36 = 24\) cu. in.
D. 1,000,000
A cube that is 1 meter on each edge is 100 centimeters on each edge. It would have 100 layers, with \(100 \times 100 = 10{,}000\) cubic centimeters in each layer. So \(10{,}000 \times 100 = 1{,}000{,}000\) cubic centimeters.
D. 6 cubic units
The prism shows dimensions of length 3, width 1, and height 2. Volume: \(3 \times 1 \times 2 = 6\) cubic units.