The total surface area of the toy truck can be calculated by finding the surface area of each rectangular prism and then adding them together.
For the cab section:
Surface area of one side = 2 inches * 3 inches = 6 square inches
Since there are two sides (front and back), the total surface area of the cab section is 6 square inches * 2 = 12 square inches.
For the cargo section:
Side 1 (front) = 2 inches * 6 inches = 12 square inches
Side 2 (back) = 2 inches * 6 inches = 12 square inches
Top = 2 inches * 3 inches = 6 square inches
Total surface area of the cargo section = (12 square inches + 6 square inches) * 2 = 36 square inches
Therefore, the total surface area of the toy truck (excluding the wheels) is 12 square inches + 36 square inches = 48 square inches.
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)?
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