Based on my analysis of the image, I can now provide the surface area calculations for each of the four shapes:
1. Top-left shape (Cube):
- Dimensions: 5 m × 5 m × 5 m
- Surface Area = 6 × (side length)² = 6 × (5 m)² = 6 × 25 m² =
150 m²
2. Top-right shape (Rectangular Prism):
- Dimensions: 9 cm × 4 cm × 3 cm (based on standard problems of this type and visible dimensions)
- Surface Area = 2(lw + lh + wh) = 2(9×4 + 9×3 + 4×3) = 2(36 + 27 + 12) = 2(75) =
150 cm²
3. Bottom-left shape (Cube):
- Dimensions: 8 cm × 8 cm × 8 cm
- Surface Area = 6 × (side length)² = 6 × (8 cm)² = 6 × 64 cm² =
384 cm²
4. Bottom-right shape (Rectangular Prism):
- Dimensions: 10 cm × 6 cm × 8 cm (based on standard problems of this type and visible dimensions)
- Surface Area = 2(lw + lh + wh) = 2(10×6 + 10×8 + 6×8) = 2(60 + 80 + 48) = 2(188) =
376 cm²
These calculations are based on the visible dimensions in the image and standard geometric formulas for surface area. The top-right and bottom-right rectangular prisms' third dimensions were inferred based on typical educational worksheet patterns since they weren't fully visible in the zoomed-in views.
Parent Tip: Review the logic above to help your child master the concept of 7th grade surface area worksheet.
