The surface area of the pyramid is 96 ft²
The surface area of the square base prism is 552 ft²
The surface area of the cube is 216 ft²
The total surface area is 756 ft²
How to find surface area?
The surface area of the pyramid = A + 1/2 ps
where
- A = base area
- p = perimeter
- s = slant height
Therefore,
A = 6² = 36 ft²
p = 4(6) = 24 ft
s = √3² + 4² = √9 + 16 = √25 = 5 ft
Hence,
The surface area of the pyramid = 36 + 1 / 2 × 24 × 5 = 96 ft²
The surface area of the square base prism = 2a² + 4ah
where
- a = side of the square base
- h = height
Therefore,
The surface area of the square base prism = 2(6)² + 4(6)(20) = 72 + 480 = 552 ft²
The surface area of the cube = 6l² = 6 × 6² = 6 × 36 = 216 ft²
Total surface area = 96 + 552 + 216 = 864 - 36 - 36 - 36 = 756 ft²
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