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A toy truck is compromise of a rectangular cab and a shipping container that it is carrying. What is the total surface area of the truck excluding the wheels. 11in long,3in wide,6in height,2in front, 3in
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You can only pick from 222, 234, 120 and 228
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To calculate the total surface area of the truck, we need to find the surface area of the cab and the shipping container separately and add them up.
Surface area of the cab:
The cab is a rectangular solid with dimensions 11in long, 3in wide, and 2in high. To find the surface area, we use the formula: SA = 2lw + 2lh + 2wh, where l = 11in, w = 3in, and h = 2in.
SA of cab = 2(11x3) + 2(11x2) + 2(3x2) = 66 + 44 + 12 = 122 in^2
Surface area of the shipping container:
The shipping container is also a rectangular solid with dimensions 11in long, 3in wide, and 4in high (subtracting the height of the cab from the overall height of the truck). It also has a front face that is 3in wide and 4in high.
Front face area = lw = 3x4 = 12 in^2
Remaining faces area = 2lw + 2lh + 2wh = 2(11x3) + 2(11x4) + 2(3x4) = 66 + 88 + 24 = 178 in^2
Total surface area of shipping container = front face area + remaining faces area = 12 + 178 = 190 in^2
Total surface area of the truck = SA of cab + SA of shipping container = 122 + 190 = 312 in^2
Therefore, the total surface area of the truck excluding the wheels is 312 square inches.
Surface area of the cab:
The cab is a rectangular solid with dimensions 11in long, 3in wide, and 2in high. To find the surface area, we use the formula: SA = 2lw + 2lh + 2wh, where l = 11in, w = 3in, and h = 2in.
SA of cab = 2(11x3) + 2(11x2) + 2(3x2) = 66 + 44 + 12 = 122 in^2
Surface area of the shipping container:
The shipping container is also a rectangular solid with dimensions 11in long, 3in wide, and 4in high (subtracting the height of the cab from the overall height of the truck). It also has a front face that is 3in wide and 4in high.
Front face area = lw = 3x4 = 12 in^2
Remaining faces area = 2lw + 2lh + 2wh = 2(11x3) + 2(11x4) + 2(3x4) = 66 + 88 + 24 = 178 in^2
Total surface area of shipping container = front face area + remaining faces area = 12 + 178 = 190 in^2
Total surface area of the truck = SA of cab + SA of shipping container = 122 + 190 = 312 in^2
Therefore, the total surface area of the truck excluding the wheels is 312 square inches.
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