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
222 in.2
222 in. squared
120 in.2
120 in. squared
234 in.2
234 in. squared
228 in.2
7 answers
Answer: 144 in. squared
Total surface area of the truck (excluding the wheels) = 2*(3*2 + 3*6 + 2*6) = 2*(6 + 18 + 12) = 2*(36) = 72 square inches for each prism. Total surface area of both prisms combined = 2*72 = 144 square inches.
Therefore, the total surface area of the truck (excluding the wheels) is 144 in. squared.
Answer: 144 in. squared
The total surface area of the truck (excluding the wheels) can be calculated by finding the area of each rectangular face and adding them all together.
For the cab section:
- Front and back faces: 2*(3*2) = 12 square inches
- Two side faces: 2*(3*2) = 12 square inches
- Top face: 2*2 = 4 square inches
Total surface area of the cab section = 12 + 12 + 4 = 28 square inches
For the cargo section:
- Front and back faces: 2*(3*6) = 36 square inches
- Two side faces: 2*(3*6) = 36 square inches
- Top and bottom faces: 2*(2*6) = 24 square inches
Total surface area of the cargo section = 36 + 36 + 24 = 96 square inches
Total surface area of the truck (excluding the wheels) = 28 (cab section) + 96 (cargo section) = 124 square inches
Therefore, the correct total surface area of the truck (excluding the wheels) is 124 in. squared.
Answer: 124 in. squared
222 in. squared
120 in.2
120 in. squared
234 in.2
234 in. squared
228 in.2
one of these