Question

3) Use the net to find the surface area of each prism. *10 points6 in.8 in.15 in.10 in.10 in.156 in.8 in.6 in. w 8 in.300308400408

Answer 1

EXPLANATION

Let's consider the facts:

The surface of a rectangular prism is given by the following equation:

Area= bh * L( S1 + S2 + S3)

Now, considering the sides:

Base = b = 8inches

Height = h = 6 inches

Length = L = 15 inches

Slope = 10 inches

Computing b*h = 8 inches * 6 inches = 48 in^2

Now, we need to find S1, S2 and S3

S1 = Base = 8 inches

S2 = Slope = 10 inches

S3 = Slope= 10 inches

So the Area is:

Area= 48 + 15*(8 + 6 + 10)

Adding terms:

Area = 48 + 15*(24)

Multiplying terms:

Area = 48 + 360

Adding terms:

Area = 408 in^2

The answer is 408 in^2