To find the volume of each prism, we count the number of unit cubes. Since 1 cube = $1 \text{ in}^3$, the total count is the volume.
Here is the step-by-step breakdown:
1)
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Count: The shape is a flat rectangular layer. It is 8 cubes long and 4 cubes wide.
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Calculation: $8 \times 4 = 32$ cubes.
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Volume: $32 \text{ in}^3$
2)
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Count: This is a single cube. It is 3 cubes long, 3 cubes wide, and 3 cubes high.
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Calculation: $3 \times 3 \times 3 = 27$ cubes.
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Volume: $27 \text{ in}^3$
3)
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Count: This is a tall tower. The base is 3 cubes by 3 cubes ($9$ cubes). It is 5 cubes high.
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Calculation: $9 \times 5 = 45$ cubes.
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Volume: $45 \text{ in}^3$
4)
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Count: This is a rectangular block. It is 4 cubes long, 3 cubes wide, and 3 cubes high.
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Calculation: $4 \times 3 \times 3 = 36$ cubes.
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Volume: $36 \text{ in}^3$
5)
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Count: This is a flat rectangular slab. It is 6 cubes long, 4 cubes wide, and 2 cubes high.
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Calculation: $6 \times 4 \times 2 = 48$ cubes.
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Volume: $48 \text{ in}^3$
6)
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Count: This is a large square block. It is 4 cubes long, 4 cubes wide, and 4 cubes high.
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Calculation: $4 \times 4 \times 4 = 64$ cubes.
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Volume: $64 \text{ in}^3$
Final Answer:
1) Volume = 32 in³
2) Volume = 27 in³
3) Volume = 45 in³
4) Volume = 36 in³
5) Volume = 48 in³
6) Volume = 64 in³
Parent Tip: Review the logic above to help your child master the concept of volume cubes worksheet.
