A box of rice is shaped like a rectangular prism. The box has a length of 6 inches, a width of 1.5 inches, and a height of 8.5 inches.

What is the total surface area of the box in square inches?

A 136.5 in.2
B 76.5 in.2
C 145.5 in.2
D 127.5 in.2

1 answer

The total surface area of a rectangular prism can be found by adding up the areas of all of its faces. We can use the formula:

surface area = 2lw + 2lh + 2wh

where l is the length, w is the width, and h is the height.

Substituting the given values, we get:

surface area = 2(6)(1.5) + 2(6)(8.5) + 2(1.5)(8.5)
surface area = 18 + 102 + 25.5
surface area = 145.5

Therefore, the total surface area of the box is 145.5 square inches, which is answer choice C.