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Math worksheet for calculating surface area and volume of 3D shapes.

Worksheet titled "Calculate the area and the volume of shapes" featuring six geometric figures: cube, sphere, cylinder, pyramid, rectangular prism, and triangular prism, each with lines for calculations.

Worksheet titled "Calculate the area and the volume of shapes" featuring six geometric figures: cube, sphere, cylinder, pyramid, rectangular prism, and triangular prism, each with lines for calculations.

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Show Answer Key & Explanations Step-by-step solution for: Solid figures, volume and surface area worksheets pdf
1. Cube (side 4 cm):
- Surface Area: 6 × (4 cm)² = 96 cm²
- Volume: (4 cm)³ = 64 cm³

2. Sphere (radius 3 cm):
- Surface Area: 4π × (3 cm)² = 36π cm² ≈ 113.10 cm²
- Volume: (4/3)π × (3 cm)³ = 36π cm³ ≈ 113.10 cm³

3. Cylinder (radius 3 cm, height 5 cm):
- Surface Area: 2π×3×(3+5) = 48π cm² ≈ 150.80 cm²
- Volume: π × (3 cm)² × 5 cm = 45π cm³ ≈ 141.37 cm³

4. Triangular Prism (base triangle sides 3 cm, 4 cm, 5 cm; height 6 cm):
- Surface Area: 2×(½×3×4) + (3×6) + (4×6) + (5×6) = 12 + 18 + 24 + 30 = 84 cm²
- Volume: (½×3×4) × 6 = 36 cm³

5. Rectangular Prism (dimensions 5 cm × 4 cm × 3 cm):
- Surface Area: 2×(5×4 + 5×3 + 4×3) = 2×(20+15+12) = 94 cm²
- Volume: 5×4×3 = 60 cm³

6. Square Pyramid (base side 4 cm, slant height 5 cm, height 4 cm):
- Surface Area: (4×4) + 4×(½×4×5) = 16 + 40 = 56 cm²
- Volume: (1/3)×(4×4)×4 = 64/3 cm³ ≈ 21.33 cm³
Parent Tip: Review the logic above to help your child master the concept of surface area of solids worksheet.
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