Question

Find the surface area and volume of the figure below. Round your answers to the nearest tenth. (50 pts)

Answer 1

Answer:

• Surface Area = 188.4 square yards
• Volume = 216 cubic yards

Step-by-step 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