Students correct three volume formula and unit errors — wrong unit, missing dimension, and addition instead of multiplication. Part B has four questions about volume vocabulary, a three-dimension computation, and unit cube definition. Part C has two questions about layer-based volume counting and why cubic units are required.
Correcting volume formula and unit errors — missing the height dimension and using cm² instead of cm³ — establishes the three-dimensional foundation students need before applying the formula independently.
Style:
Volume of Rectangular Prisms
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
The volume of a box 4 cm long, 3 cm wide, and 2 cm tall is 24 cm².
Rewrite: The volume of a box 4 cm long, 3 cm wide, and 2 cm tall is 24 cm³.
2. Fix the sentence:
To find the volume of a rectangular prism, multiply length times width.
Rewrite: To find the volume of a rectangular prism, multiply length times width times height.
3. Fix the sentence:
A prism 5 in long, 2 in wide, and 3 in tall has a volume of 13 in³.
Rewrite: A prism 5 in long, 2 in wide, and 3 in tall has a volume of 30 in³.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Volume measures the amount of space inside a three-dimensional shape.
2. A rectangular prism with length 6 cm, width 4 cm, and height 2 cm has a volume of 48 cm³.
3. A unit cube has a volume of 1 cubic unit.
4. A box that is 3 m long, 3 m wide, and 3 m tall has a volume of 27 m³.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. A rectangular prism has 5 layers of unit cubes with 12 cubes per layer. What is the total volume?
The total volume is 60 cubic units because 12 × 5 = 60.
2. Why do we measure volume in cubic units instead of square units?
Volume measures three-dimensional space, so cubic units account for length, width, and height.
Volume of Rectangular Prisms
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
The volume of a box 4 cm long, 3 cm wide, and 2 cm tall is 24 cm².
Rewrite: The volume of a box 4 cm long, 3 cm wide, and 2 cm tall is 24 cm³.
2) Fix the sentence:
To find the volume of a rectangular prism, multiply length times width.
Rewrite: To find the volume of a rectangular prism, multiply length times width times height.
3) Fix the sentence:
A prism 5 in long, 2 in wide, and 3 in tall has a volume of 13 in³.
Rewrite: A prism 5 in long, 2 in wide, and 3 in tall has a volume of 30 in³.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Volume measures the amount of space inside a three-dimensional shape.
2) A rectangular prism with length 6 cm, width 4 cm, and height 2 cm has a volume of 48 cm³.
3) A unit cube has a volume of 1 cubic unit.
4) A box that is 3 m long, 3 m wide, and 3 m tall has a volume of 27 m³.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) A rectangular prism has 5 layers of unit cubes with 12 cubes per layer. What is the total volume?
The total volume is 60 cubic units because 12 × 5 = 60.
2) Why do we measure volume in cubic units instead of square units?
Volume measures three-dimensional space, so cubic units account for length, width, and height.
Ready to Practice?
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9 Questions
15-20 minutes
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