Question
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
228 in.2
228 in. squared
234 in.2
To find the total surface area of the truck, you need to find the surface area of each rectangular prism individually and then sum them up.
For the cab section:
- Surface area of the front and back: 2 * 3 = 6 square inches
- Surface area of the top and bottom: 2 * 2 = 4 square inches
- Surface area of the two sides: 2 * 3 = 6 square inches
Total surface area of the cab section: 6 + 4 + 6 = 16 square inches
For the cargo section:
- Surface area of the front and back: 2 * 6 = 12 square inches
- Surface area of the top and bottom: 6 * 3 = 18 square inches
- Surface area of the two sides: 3 * 6 = 18 square inches
Total surface area of the cargo section: 12 + 18 + 18 = 48 square inches
Therefore, the total surface area of the truck (excluding the wheels) is 16 (cab) + 48 (cargo) = 64 square inches.