Question

Find the surface area of the prism.

Answer 1

Answer:

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

Step-by-step 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

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