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)?
The surface area of a rectangular prism can be calculated using the formula:
Surface Area = 2lw + 2lh + 2wh
For the cab section:
Surface Area = 2(2)(3) + 2(2)(3) + 2(3)(3)
Surface Area = 12 + 12 + 18
Surface Area = 42 square inches
For the cargo section:
Surface Area = 2(6)(3) + 2(6)(3) + 2(3)(3)
Surface Area = 36 + 36 + 18
Surface Area = 90 square inches
Total surface area of the truck (excluding the wheels):
42 (from cab) + 90 (from cargo) = 132 square inches
Therefore, the total surface area of the toy truck (excluding the wheels) is 132 square inches.