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Volume of Composite Figures - Worksheet 1 - 5th Grade

Easy

Decompose two joined rectangular prisms, multiply each set of dimensions, and add their volumes. Diagrams are not to scale.

easy: Add volumes of two prisms with small whole-number dimensions.

12 problems · 20-30 minutes · Skills: volume, addition, multiplication

About This Worksheet

This easy-level worksheet contains 12 problems designed for 5th Grade students practicing volume of composite figures. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Multiply whole numbers and find the volume of a rectangular prism: length × width × height.

  • Decompose two joined rectangular prisms, multiply each set of dimensions, and add their volumes. Diagrams are not to scale.
  • Add volumes, not edge lengths. Count each region once and use cubic units.

How to Solve: Worked Example

Example Problem: Two non-overlapping prisms have dimensions 4 × 3 × 5 cm and 2 × 3 × 2 cm. What is their combined volume?
Solution Steps:
  1. Left prism: 4 × 3 × 5 = 60 cubic centimeters.
  2. Right prism: 2 × 3 × 2 = 12 cubic centimeters.
  3. Add the non-overlapping parts: 60 + 12 = 72.
Answer: 72 cm³
Tip: Add volumes, not edge lengths. Count each region once and use cubic units.
1
Two prisms touch without overlapping. Left: 3 × 5 × 7 cm. Right: 4 × 5 × 5 cm. Find the total volume.
3 cm4 cm7 cm5 cmdepth 5 cm
Diagram not to scale.
2
Two prisms touch without overlapping. Left: 3 × 5 × 8 cm. Right: 8 × 5 × 2 cm. Find the total volume.
3 cm8 cm8 cm2 cmdepth 5 cm
Diagram not to scale.
3
Two prisms touch without overlapping. Left: 3 × 5 × 9 cm. Right: 5 × 5 × 6 cm. Find the total volume.
3 cm5 cm9 cm6 cmdepth 5 cm
Diagram not to scale.
4
Two prisms touch without overlapping. Left: 6 × 3 × 10 cm. Right: 8 × 3 × 5 cm. Find the total volume.
6 cm8 cm10 cm5 cmdepth 3 cm
Diagram not to scale.
5
Two prisms touch without overlapping. Left: 3 × 2 × 5 cm. Right: 2 × 2 × 3 cm. Find the total volume.
3 cm2 cm5 cm3 cmdepth 2 cm
Diagram not to scale.
6
Two prisms touch without overlapping. Left: 5 × 4 × 10 cm. Right: 6 × 4 × 3 cm. Find the total volume.
5 cm6 cm10 cm3 cmdepth 4 cm
Diagram not to scale.
7
Two prisms touch without overlapping. Left: 6 × 4 × 10 cm. Right: 3 × 4 × 6 cm. Find the total volume.
6 cm3 cm10 cm6 cmdepth 4 cm
Diagram not to scale.
8
Two prisms touch without overlapping. Left: 4 × 7 × 12 cm. Right: 5 × 7 × 6 cm. Find the total volume.
4 cm5 cm12 cm6 cmdepth 7 cm
Diagram not to scale.
9
Two prisms touch without overlapping. Left: 6 × 2 × 9 cm. Right: 9 × 2 × 3 cm. Find the total volume.
6 cm9 cm9 cm3 cmdepth 2 cm
Diagram not to scale.
10
Two prisms touch without overlapping. Left: 2 × 3 × 12 cm. Right: 5 × 3 × 4 cm. Find the total volume.
2 cm5 cm12 cm4 cmdepth 3 cm
Diagram not to scale.
11
Two prisms touch without overlapping. Left: 3 × 7 × 10 cm. Right: 2 × 7 × 3 cm. Find the total volume.
3 cm2 cm10 cm3 cmdepth 7 cm
Diagram not to scale.
12
Two prisms touch without overlapping. Left: 2 × 2 × 5 cm. Right: 5 × 2 × 3 cm. Find the total volume.
2 cm5 cm5 cm3 cmdepth 2 cm
Diagram not to scale.

Answer Key

1. 205 cm³ (105 + 100)2. 200 cm³ (120 + 80)3. 285 cm³ (135 + 150)4. 300 cm³ (180 + 120)5. 42 cm³ (30 + 12)6. 272 cm³ (200 + 72)7. 312 cm³ (240 + 72)8. 546 cm³ (336 + 210)9. 162 cm³ (108 + 54)10. 132 cm³ (72 + 60)11. 252 cm³ (210 + 42)12. 50 cm³ (20 + 30)

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What skills does this volume worksheet cover?

This worksheet focuses on volume, addition, multiplication. It is designed for 5th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

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How many problems are on this worksheet?

This worksheet contains 12 problems. It typically takes 20-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.