1.
a.
- The composite figure consists of two rectangular prisms stacked vertically.
- Bottom prism: 14 cm × 3 cm × 5 cm → Volume = 14 × 3 × 5 = 210 cm³
- Top prism: 14 cm × 3 cm × 5 cm → Volume = 14 × 3 × 5 = 210 cm³
- Total volume = 210 + 210 =
420 cm³
2.
b.
- The figure is an L-shape made of two rectangular prisms.
- Bottom prism: 15 in × 4 in × 6 in → Volume = 15 × 4 × 6 = 360 in³
- Top prism: 7 in × 3 in × 3 in → Volume = 7 × 3 × 3 = 63 in³
- Total volume = 360 + 63 =
423 in³
3.
c.
- The figure is an L-shape made of two rectangular prisms.
- Bottom prism: 10 cm × 3 cm × 2 cm → Volume = 10 × 3 × 2 = 60 cm³
- Top prism: 6 cm × 3 cm × 4 cm → Volume = 6 × 3 × 4 = 72 cm³
- Total volume = 60 + 72 =
132 cm³
4.
d.
- The figure is an L-shape made of two rectangular prisms.
- Bottom prism: 10 m × 3 m × 6 m → Volume = 10 × 3 × 6 = 180 m³
- Top prism: 8 m × 3 m × (12 m - 6 m) = 8 × 3 × 6 = 144 m³
- Total volume = 180 + 144 =
324 m³
Parent Tip: Review the logic above to help your child master the concept of volume worksheet 5th grade.
