Testinar Grade 5 math

Measuring Volume with Unit Cubes

Students will measure volume by counting unit cubes and connecting layers to multiplication.

CH09-02 Volume

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

A rectangular prism is 3 units long, 2 units wide, and 2 units tall. How many unit cubes fit inside it? \UnitPrismPic[0.72]{3}{2}{2}
1. 7 unit cubes
2. 12 unit cubes
3. 10 unit cubes
4. 8 unit cubes
A box is 4 units long, 2 units wide, and 3 units tall. How many unit cubes will completely fill the box? \UnitPrismPic[0.62]{4}{2}{3}
1. 9 unit cubes
2. 20 unit cubes
3. 24 unit cubes
4. 18 unit cubes
How many unit cubes are in the prism shown below? \UnitPrismPic[0.70]{2}{1}{3}
1. 4 unit cubes
2. 12 unit cubes
3. 8 unit cubes
4. 6 unit cubes
A storage container has dimensions 5 units by 1 unit by 2 units. How many unit cubes fit inside? \UnitPrismPic[0.66]{5}{1}{2}
1. 10 unit cubes
2. 8 unit cubes
3. 12 unit cubes
4. 15 unit cubes
A cubical box has edges of 3 units. How many unit cubes will it hold? \UnitPrismPic[0.62]{3}{3}{3}
1. 6 unit cubes
2. 9 unit cubes
3. 18 unit cubes
4. 27 unit cubes
Which rectangular prism holds exactly 16 unit cubes? \UnitPrismPic[0.56]{2}{2}{4}
1. \(3 \times 3 \times 2\)
2. \(2 \times 3 \times 3\)
3. \(2 \times 2 \times 5\)
4. \(2 \times 2 \times 4\)
A rectangular box is 5 units long, 3 units wide, and 1 unit tall. How many unit cubes does it contain? \UnitPrismPic[0.62]{5}{3}{1}
1. 8 unit cubes
2. 15 unit cubes
3. 12 unit cubes
4. 20 unit cubes
A prism has a bottom layer of 20 unit cubes. If there are 3 layers stacked, how many cubes in total? \UnitPrismPic[0.50]{5}{4}{3}
1. 20 unit cubes
2. 40 unit cubes
3. 23 unit cubes
4. 60 unit cubes

Teacher and parent reference

Answer key and explanations

B. 12 unit cubes
To find how many unit cubes fit in the prism, we multiply the dimensions: \(3 \times 2 \times 2 = 12\) unit cubes.
C. 24 unit cubes
Volume \(= 4 \times 2 \times 3 = 24\) unit cubes.
D. 6 unit cubes
The prism is 2 units long \(\times\) 1 unit wide \(\times\) 3 units tall: \(2 \times 1 \times 3 = 6\) unit cubes.
A. 10 unit cubes
\(5 \times 1 \times 2 = 10\) unit cubes fit inside the container.
D. 27 unit cubes
A cube with edge 3: \(3 \times 3 \times 3 = 27\) unit cubes.
D. \(2 \times 2 \times 4\)
\(2 \times 2 \times 4 = 16\) unit cubes. (A: \(18\), B: \(18\), C: \(20\))
B. 15 unit cubes
A prism with height 1 has one layer. The layer is \(5\times3=15\) cubes, so the box contains 15 unit cubes.
D. 60 unit cubes
Each layer has 20 unit cubes. With 3 layers stacked, the total is \(20\times3=60\) unit cubes.