Question

Use the image to answer the question.

An illustration shows a 3-dimensional line diagram of a truck that appears as two adjoining rectangular prisms placed on two visible wheels. The rectangular prism on the left, representing the cab section of the truck, has a height of 3 inches and a horizontal length of 2 inches. The rectangular prism on the right, or the cargo section, is 6 inches high. The back of the truck is marked as 3 inches deep. The total horizontal length of the two prisms combined is 11 inches.

A toy truck is comprised of a rectangular cab and a shipping container that it is carrying. What is the total surface area of the truck (excluding the wheels)?

(1 point)

234 in.2


228 in.2


222 in.2


120 in.2

Answer 1

Cab: 2×3×3 → SA = 2(2·3 + 2·3 + 3·3) = 42 in^2
Container: 9×6×3 → SA = 2(9·3 + 9·6 + 3·6) = 198 in^2
Combined (subtract the two internal 3×3 faces): 42 + 198 − 2(3·3) = 240 − 18 = 222 in^2

Answer: 222 in.^2