This sheet mixes composite shapes with volume comparisons. Fill-in problems compute a 7×4×6 cm prism, find the height of a 150 m³ box with base area 30 m², combine a 4×5×3 prism with a 2×5×3 prism, and figure out a 3 ft cube. You'll also find a missing height when volume is 96 in³ and compare two prisms where X holds 20 cm³ more than Y.
The matching section pairs four prisms (9×3×4, 7×6×2, 5×5×5, 10×4×3) with their correct volumes. By the end, you'll connect length-times-width-times-height and base-times-height as the same formula written two ways.
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 figure, split it into two rectangular prisms and add their volumes.
2. A prism is 7 cm × 4 cm × 6 cm. Its volume is 168 cm³.
3. A box has a volume of 150 m³. If the base area is 30 m², the height is 5 m.
4. Prism A is 4×5×3 cm and Prism B is 2×5×3 cm. Together they have a volume of 90 cm³.
5. A cube with edge length 3 ft has a volume of 27 ft³.
6. If Prism X has volume 200 cm³ and Prism Y has volume 180 cm³, Prism X holds 20 cm³ more.
7. A rectangular prism has a volume of 96 in³, a length of 8 in, and a width of 4 in. Its height is 3 in.
8. The volume of a rectangular prism can also be found by multiplying the area of the base by the height.
9. A prism 11 cm × 2 cm × 5 cm has a volume of 110 cm³.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each rectangular prism to its volume.
9 cm × 3 cm × 4 cm
→ 108 cm³
125 cm³
7 cm × 6 cm × 2 cm
→ 84 cm³
108 cm³
5 cm × 5 cm × 5 cm
→ 125 cm³
120 cm³
10 cm × 4 cm × 3 cm
→ 120 cm³
84 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 figure, split it into two rectangular prisms and add their volumes.
2) A prism is 7 cm × 4 cm × 6 cm. Its volume is 168 cm³.
3) A box has a volume of 150 m³. If the base area is 30 m², the height is 5 m.
4) Prism A is 4×5×3 cm and Prism B is 2×5×3 cm. Together they have a volume of 90 cm³.
5) A cube with edge length 3 ft has a volume of 27 ft³.
6) If Prism X has volume 200 cm³ and Prism Y has volume 180 cm³, Prism X holds 20 cm³ more.
7) A rectangular prism has a volume of 96 in³, a length of 8 in, and a width of 4 in. Its height is 3 in.
8) The volume of a rectangular prism can also be found by multiplying the area of the base by the height.
9) A prism 11 cm × 2 cm × 5 cm has a volume of 110 cm³.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each rectangular prism to its volume.
9 cm × 3 cm × 4 cm
→ 108 cm³
125 cm³
7 cm × 6 cm × 2 cm
→ 84 cm³
108 cm³
5 cm × 5 cm × 5 cm
→ 125 cm³
120 cm³
10 cm × 4 cm × 3 cm
→ 120 cm³
84 cm³
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