Surface Area of Composite 3D Figures Quick Check5 of 55 of 5 ItemsQuestionUse 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)Responses228 in.2 228 in. squared222 in.2222 in. squared234 in.2 234 in. squared 120 in.2
wrong
Apologies for the error in my previous response. Let's correct the calculation.
Surface area of the cab section:
- Front and back faces: 2 faces x 3 inches x 2 inches = 12 square inches
- Top and bottom faces: 2 faces x 3 inches x 2 inches = 12 square inches
- Side faces: 2 faces x 3 inches x 2 inches = 12 square inches
Total surface area of the cab section = 12 + 12 + 12 = 36 square inches
Surface area of the cargo section:
- Front and back faces: 2 faces x 3 inches x 6 inches = 36 square inches
- Top and bottom faces: 2 faces x 3 inches x 6 inches = 36 square inches
- Side faces: 2 faces x 3 inches x 6 inches = 36 square inches
Total surface area of the cargo section = 36 + 36 + 36 = 108 square inches
Total surface area of the truck (excluding the wheels) = Surface area of cab section + Surface area of cargo section
= 36 square inches + 108 square inches
= 144 square inches
So, the total surface area of the truck (excluding the wheels) is 144 square inches.
To find the total surface area of the truck (excluding the wheels), we need to find the surface area of each individual rectangular prism and then add them together.
Surface area of the cab section:
- Front and back faces: 2 faces x 2 inches x 3 inches = 12 square inches
- Top and bottom faces: 2 faces x 2 inches x 3 inches = 12 square inches
- Side faces: 2 faces x 2 inches x 2 inches = 8 square inches
Total surface area of the cab section = 12 + 12 + 8 = 32 square inches
Surface area of the cargo section:
- Front and back faces: 2 faces x 6 inches x 3 inches = 36 square inches
- Top and bottom faces: 2 faces x 6 inches x 3 inches = 36 square inches
- Side faces: 2 faces x 6 inches x 3 inches = 36 square inches
Total surface area of the cargo section = 36 + 36 + 36 = 108 square inches
Total surface area of the truck (excluding the wheels) = Surface area of cab section + Surface area of cargo section
= 32 square inches + 108 square inches
= 140 square inches
So, the total surface area of the truck (excluding the wheels) is 140 square inches.