Use the image to answer the question. 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 120%C2%A0in.2%C2%A0 120 in. squared %C2%A0 %C2%A0 228%C2%A0in.2 %C2%A0 %C2%A0 %C2%A0 228 in. squared 222%C2%A0in.2 222 in. squared 234%C2%A0in.2%C2%A0 234 in. squared %C2%A0 %C2%A0 Skip to navigatio
To find the total surface area of the truck (excluding the wheels), we need to calculate the surface area of both the cab and the shipping container separately, and then add them together.
1. Surface area of the cab:
The cab is a rectangular shape with dimensions 6 in. × 3 in. × 4 in.
Surface area = 2(lw + lh + wh)
Surface area = 2(6*3 + 6*4 + 3*4)
Surface area = 2(18 + 24 + 12)
Surface area = 2(54)
Surface area = 108 in^2
2. Surface area of the shipping container:
The shipping container is also a rectangular shape with dimensions 9 in. × 6 in. × 8 in.
Surface area = 2(lw + lh + wh)
Surface area = 2(9*6 + 9*8 + 6*8)
Surface area = 2(54 + 72 + 48)
Surface area = 2(174)
Surface area = 348 in^2
Total surface area of the truck (excluding the wheels) = Surface area of the cab + Surface area of the shipping container
Total surface area = 108 + 348
Total surface area = 456 in^2
Therefore, the total surface area of the truck (excluding the wheels) is 456 in^2 which is not a provided response.
pick either
120
228
222
234