Complete question is attached.
Answer:
543 in²
Explanation:
From the image, we can see the foam block is the shape of a triangular prism.
Here, we are asked to find how much material is used to cover the block, which means we are asked to find the surface area of tge triangular prism. The formula for surface area of a triangular prism is: S = P*H + 2*B
Where P = base perimeter
H = length = 15 in
B = base area
Let's first find the base perimeter of the triangular prism. The formula for the perimeter of a triangular prism is:
P = A + B + C
P = 13.4 + 12 + 6
P = 31.4 in
Let's find the base area:
The formula to find the base area is:
B = ½bh
Where
b = 12 in
h = 6in
Therefore,
B = ½ * 12 * 6
B = 36 in
Therefore, the surface area of the triangular prism is:
A= P*H + 2*B
A = (31.4 * 15) + (2 * 36)
A = 471 + 72
A = 543 in²
The surface area of the soft foam is 543 in²