This worksheet asks you to find the volume of several 3D shapes, all constructed from 1 cm³ cubes. The volume of each shape is simply the total number of 1 cm³ cubes it contains.
I will solve this problem by counting the cubes in each shape for both Activity 1 and Activity 2.
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Activity 1
For these irregular shapes, I need to count each visible cube and also account for any hidden cubes that are necessary to support the structure.
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Pink Shape:
- It looks like a 3x2x2 block with one cube missing from the front.
- Total cubes if complete: 3 * 2 * 2 = 12.
- Missing cubes: 1.
- Volume = 12 - 1 =
11 cm³.
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Green Shape:
- This is a stepped pyramid.
- Bottom layer: 6 cubes (a 3x2 rectangle).
- Middle layer: 3 cubes.
- Top layer: 1 cube.
- Total = 6 + 3 + 1 =
10 cm³.
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Orange Shape:
- This is a more complex structure.
- Let's count by columns:
- Left column (front): 3 cubes high.
- Left column (back): 2 cubes high.
- Middle column (front): 4 cubes high.
- Middle column (back): 2 cubes high.
- Right column (front): 3 cubes high.
- Right column (back): 2 cubes high.
- Total = 3 + 2 + 4 + 2 + 3 + 2 =
16 cm³.
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Activity 2
These are regular cuboids (rectangular prisms). For these, I can use the formula: Volume = Length × Width × Height.
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Purple Cuboid:
- Dimensions: 3 cubes long, 2 cubes wide, 2 cubes high.
- Volume = 3 × 2 × 2 =
12 cm³.
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Orange Cuboid:
- Dimensions: 3 cubes long, 3 cubes wide, 3 cubes high.
- Volume = 3 × 3 × 3 =
27 cm³.
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Blue Cuboid:
- Dimensions: 3 cubes long, 3 cubes wide, 5 cubes high.
- Volume = 3 × 3 × 5 =
45 cm³.
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Final Answers
Activity 1:
- Pink Shape:
11 cm³
- Green Shape:
10 cm³
- Orange Shape:
16 cm³
Activity 2:
- Purple Cuboid:
12 cm³
- Orange Cuboid:
27 cm³
- Blue Cuboid:
45 cm³
Parent Tip: Review the logic above to help your child master the concept of counting cubes to find volume worksheet.
