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
120 in.2 120 in. squared
222 in.2
222 in. squared
228 in.2
228 in. squared
234 in.2 234 in. squared
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First, calculate the surface area of the cab section:
Total surface area of cab = 2*(height*length) + 2*(depth*height) + (length*depth)
Total surface area of cab = 2*(3*2) + 2*(3*3) + (2*3)
Total surface area of cab = 12 + 18 + 6
Total surface area of cab = 36 square inches
Next, calculate the surface area of the cargo section:
Total surface area of cargo = 2*(height*length) + 2*(depth*height) + (length*depth)
Total surface area of cargo = 2*(6*9) + 2*(6*3) + (9*3)
Total surface area of cargo = 108 + 36 + 27
Total surface area of cargo = 171 square inches
Add the surface areas of the cab and cargo sections to find the total surface area of the truck:
Total surface area of truck = Surface area of cab + Surface area of cargo
Total surface area of truck = 36 + 171
Total surface area of truck = 207 square inches
Therefore, the total surface area of the truck (excluding the wheels) is 207 square inches.