Students complete nine fill-in-the-blank problems decomposing composite solids and computing combined volumes of two prisms and a block with a notch removed. The matching activity pairs four composite volume scenarios with their total volumes.
Composite volume problems — splitting L-shaped solids and subtracting notched sections — require students to apply V = l × w × h twice and combine results, the most structurally complex volume task at Grade 5.
Style:
Volume of Rectangular Prisms
Part A: Fill in the Blank
Write the missing word or number on each line.
1. To find the volume of an L-shaped solid, split it into two rectangular prisms and add their volumes.
2. Prism A is 4×3×2 cm and Prism B is 5×3×2 cm. The combined volume is 54 cm³.
3. A block is 10×6×4 cm with a 3×2×4 cm notch cut out. The remaining volume is 216 cm³.
4. Two identical prisms each 2×3×5 in are stacked. The total volume is 60 in³.
5. A T-shaped solid has a top piece 8×2×3 cm and a base 4×2×5 cm. Total volume is 88 cm³.
6. When a hole is cut from a solid, we subtract the hole's volume from the solid's volume.
7. A 6×6×6 cm cube has a 2×2×6 cm tunnel cut through it. The remaining volume is 192 cm³.
8. Prism A is 3×4×5 m and Prism B is 3×4×3 m. Together their volume is 96 m³.
9. A step shape has a bottom layer 10×4×2 cm and a top layer 6×4×2 cm. Its volume is 128 cm³.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Bottom 8×5×3 + Top 4×5×2
→ 160 cm³
84 cm³
Solid 7×4×6 − Hole 2×2×6
→ 144 cm³
90 cm³
Two stacked: 3×3×4 and 3×3×6
→ 90 cm³
144 cm³
Bottom 6×4×2 + Top 3×4×3
→ 84 cm³
160 cm³
Volume of Rectangular Prisms
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) To find the volume of an L-shaped solid, split it into two rectangular prisms and add their volumes.
2) Prism A is 4×3×2 cm and Prism B is 5×3×2 cm. The combined volume is 54 cm³.
3) A block is 10×6×4 cm with a 3×2×4 cm notch cut out. The remaining volume is 216 cm³.
4) Two identical prisms each 2×3×5 in are stacked. The total volume is 60 in³.
5) A T-shaped solid has a top piece 8×2×3 cm and a base 4×2×5 cm. Total volume is 88 cm³.
6) When a hole is cut from a solid, we subtract the hole's volume from the solid's volume.
7) A 6×6×6 cm cube has a 2×2×6 cm tunnel cut through it. The remaining volume is 192 cm³.
8) Prism A is 3×4×5 m and Prism B is 3×4×3 m. Together their volume is 96 m³.
9) A step shape has a bottom layer 10×4×2 cm and a top layer 6×4×2 cm. Its volume is 128 cm³.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
Bottom 8×5×3 + Top 4×5×2
→ 160 cm³
84 cm³
Solid 7×4×6 − Hole 2×2×6
→ 144 cm³
90 cm³
Two stacked: 3×3×4 and 3×3×6
→ 90 cm³
144 cm³
Bottom 6×4×2 + Top 3×4×3
→ 84 cm³
160 cm³
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10 Questions
10-15 minutes
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