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)
Responses
A. 120 in.2
B. 228 in.2
C. 222 in.2
D. 234 in.2
To find the total surface area of the truck (excluding the wheels), we need to calculate the surface area of each rectangular prism and then add them together.
Surface area of the cab (rectangular prism on the left):
- Front and back faces: 2 * 3 = 6 square inches
- Top and bottom faces: 2 * 2 = 4 square inches
- Sides: 3 * 2 = 6 square inches (there are two sides)
Total surface area of the cab: 6 + 4 + 6 + 6 = 22 square inches
Surface area of the cargo section (rectangular prism on the right):
- Front and back faces: 2 * 6 = 12 square inches
- Top and bottom faces: 2 * 11 = 22 square inches
- Sides: 6 * 11 = 66 square inches (there are two sides)
Total surface area of the cargo section: 12 + 22 + 66 + 66 = 166 square inches
Total surface area of the truck (excluding the wheels): 22 + 166 = 188 square inches
Therefore, the correct answer is not listed among the given options. The closest option is D. 234 in.2, but the correct answer should be 188 in.2.