Let’s solve each part step by step.
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Part 1: Counting cubes to find dimensions and volume
Each small cube is 1 cm on each side, so we can count how many cubes are along the length, width, and height.
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a. First prism (top left)
Look at the front face:
- Along the bottom edge (length), there are
6 cubes → Length = 6 cm
- Going back into the page (width), you can see
2 layers deep → Width = 2 cm
- Stacked vertically (height), there are
2 layers high → Height = 2 cm
Volume = Length × Width × Height
= 6 × 2 × 2
= 24 cm³
✔ Check: You could also count total cubes — 6 in a row, 2 rows deep, 2 layers high → 6×2×2 = 24 cubes → 24 cm³
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b. Second prism (top right)
Front view:
- Length (bottom edge):
3 cubes → Length = 3 cm
- Width (going back):
2 cubes deep → Width = 2 cm
- Height (stacked up):
4 cubes tall → Height = 4 cm
Volume = 3 × 2 × 4
= 24 cm³
✔ Check: 3 across, 2 deep, 4 high → 3×2×4 = 24 cubes → 24 cm³
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Part 2: Using given measurements to calculate volume
Formula still applies: Volume = Length × Width × Height
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a. Cube-like shape with inches
Given:
- Length = 4 in
- Width = 3 in
- Height = 4 in
Volume = 4 × 3 × 4
First: 4 × 3 = 12
Then: 12 × 4 = 48
So, V = 48 in³
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b. Tall rectangular prism with meters
Given:
- Length = 3 m
- Width = 2 m
- Height = 6 m
Volume = 3 × 2 × 6
First: 3 × 2 = 6
Then: 6 × 6 = 36
So, V = 36 m³
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Final Answer:
Top section:
a. Length: 6 cm, Width: 2 cm, Height: 2 cm, Volume: 24 cm³
b. Length: 3 cm, Width: 2 cm, Height: 4 cm, Volume: 24 cm³
Bottom section:
a. V = 48 in³
b. V = 36 m³
Parent Tip: Review the logic above to help your child master the concept of volume of rectangular prisms worksheet.
