Answer:
- Surface Area = 188.4 square yards
- Volume = 216 cubic yards
Explanation:
Finding the hypotenuse of the triangular side :
- Applying Pythagorean theorem
- √6² + 6²
- √2 x 6²
- 6√2
Finding Surface Area :
- Area (2 triangles) + Area (2 smaller rectangles) + Area (larger rectangle)
- 2 x 1/2 x 6 x 6 + 2 x 12 x 6 + 12 x 6√2
- 36 + 144 + 6√2
- 180 + 6√2
- 6 (30 + √2)
- 6 (30 + 1.4)
- 6 (31.4)
- 188.4 square yards
Finding Volume :
- 1/2LWH
- 1/2 x 12 x 6 x 6
- 6³
- 216 cubic yards