Worksheets for calculating the volume of rectangular prisms using the formula length × width × height.
Two worksheets titled "Calculating Volume" showing rectangular prisms with labeled dimensions for volume calculation practice.
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Show Answer Key & Explanations
Step-by-step solution for: Volume Practice Worksheet Answers | 5th Grade Resource
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Show Answer Key & Explanations
Step-by-step solution for: Volume Practice Worksheet Answers | 5th Grade Resource
Problem Overview:
The task involves calculating the volume of various 3D rectangular prisms (cuboids) using the formula:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
Each image shows a cuboid with labeled dimensions, and the goal is to compute the volume for each one.
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Solution Approach:
1. Identify Dimensions: For each cuboid, identify the length, width, and height from the given labels.
2. Apply the Formula: Use the formula \( \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \) to calculate the volume.
3. Perform Calculations: Multiply the three dimensions to get the volume in cubic centimeters (\( \text{cm}^3 \)).
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Step-by-Step Calculations:
#### First Page:
1. Cuboid 1:
- Dimensions: \( 3 \, \text{cm} \times 3 \, \text{cm} \times 3 \, \text{cm} \)
- Volume: \( 3 \times 3 \times 3 = 27 \, \text{cm}^3 \)
2. Cuboid 2:
- Dimensions: \( 2 \, \text{cm} \times 2 \, \text{cm} \times 2 \, \text{cm} \)
- Volume: \( 2 \times 2 \times 2 = 8 \, \text{cm}^3 \)
3. Cuboid 3:
- Dimensions: \( 6 \, \text{cm} \times 6 \, \text{cm} \times 6 \, \text{cm} \)
- Volume: \( 6 \times 6 \times 6 = 216 \, \text{cm}^3 \)
4. Cuboid 4:
- Dimensions: \( 5 \, \text{cm} \times 5 \, \text{cm} \times 5 \, \text{cm} \)
- Volume: \( 5 \times 5 \times 5 = 125 \, \text{cm}^3 \)
5. Cuboid 5:
- Dimensions: \( 2.5 \, \text{cm} \times 2.5 \, \text{cm} \times 2.5 \, \text{cm} \)
- Volume: \( 2.5 \times 2.5 \times 2.5 = 15.625 \, \text{cm}^3 \)
6. Cuboid 6:
- Dimensions: \( 8 \, \text{cm} \times 8 \, \text{cm} \times 8 \, \text{cm} \)
- Volume: \( 8 \times 8 \times 8 = 512 \, \text{cm}^3 \)
---
#### Second Page:
1. Cuboid 1:
- Dimensions: \( 5 \, \text{cm} \times 5 \, \text{cm} \times 7 \, \text{cm} \)
- Volume: \( 5 \times 5 \times 7 = 175 \, \text{cm}^3 \)
2. Cuboid 2:
- Dimensions: \( 4 \, \text{cm} \times 4 \, \text{cm} \times 2 \, \text{cm} \)
- Volume: \( 4 \times 4 \times 2 = 32 \, \text{cm}^3 \)
3. Cuboid 3:
- Dimensions: \( 8 \, \text{cm} \times 8 \, \text{cm} \times 6 \, \text{cm} \)
- Volume: \( 8 \times 8 \times 6 = 384 \, \text{cm}^3 \)
4. Cuboid 4:
- Dimensions: \( 9 \, \text{cm} \times 3 \, \text{cm} \times 3 \, \text{cm} \)
- Volume: \( 9 \times 3 \times 3 = 81 \, \text{cm}^3 \)
5. Cuboid 5:
- Dimensions: \( 15 \, \text{cm} \times 3 \, \text{cm} \times 1 \, \text{cm} \)
- Volume: \( 15 \times 3 \times 1 = 45 \, \text{cm}^3 \)
6. Cuboid 6:
- Dimensions: \( 8 \, \text{cm} \times 7 \, \text{cm} \times 1 \, \text{cm} \)
- Volume: \( 8 \times 7 \times 1 = 56 \, \text{cm}^3 \)
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Final Answers:
#### First Page:
1. \( 27 \, \text{cm}^3 \)
2. \( 8 \, \text{cm}^3 \)
3. \( 216 \, \text{cm}^3 \)
4. \( 125 \, \text{cm}^3 \)
5. \( 15.625 \, \text{cm}^3 \)
6. \( 512 \, \text{cm}^3 \)
#### Second Page:
1. \( 175 \, \text{cm}^3 \)
2. \( 32 \, \text{cm}^3 \)
3. \( 384 \, \text{cm}^3 \)
4. \( 81 \, \text{cm}^3 \)
5. \( 45 \, \text{cm}^3 \)
6. \( 56 \, \text{cm}^3 \)
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{First Page:} & 27, 8, 216, 125, 15.625, 512 \\
\text{Second Page:} & 175, 32, 384, 81, 45, 56
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of measuring volume of irregular objects worksheet.