Question

Find the surface area of
the prism.

Answer 1

`\text{D. }464\:\mathrm{ft^2}`

Explanation:

The surface area of the prism consists of four rectangles and two trapezoids. The sum of the areas of these polygons will give the total surface area of the prism:

Rectangle 1 (top base):
`12\cdot 14=168`

Rectangle 2 (bottom base):
`6\cdot 14 = 84`

Trapezoids 1 and 2 (lateral):
`2\cdot 9 \cdot 4=72`

Rectangles 3 and 4 (lateral):
`2\cdot 14\cdot 5=140`

Thus the total surface area is equal to

`168+84+72+140=\boxed{\text{D. }464\:\mathrm{ft^2}}`