To find the total surface area of the toy truck (excluding the wheels), we first need to clarify the dimensions provided and determine which dimensions correspond to the cab and which correspond to the shipping container.
Assuming the dimensions are as follows based on the values provided:
- The cab is 6 inches (length) by 3 inches (width) by 2 inches (height).
- The shipping container is 11 inches (length) by 3 inches (width) by 2 inches (height).
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Calculate the surface area of the cab: The surface area \( S \) of a rectangular prism (cuboid) is given by the formula: \[ S = 2(lw + lh + wh) \] For the cab:
- Length (l) = 6 in
- Width (w) = 3 in
- Height (h) = 2 in
Plugging in the values: \[ S_{cab} = 2(6 \cdot 3 + 6 \cdot 2 + 3 \cdot 2) \] \[ = 2(18 + 12 + 6) \] \[ = 2(36) = 72 \text{ in}^2 \]
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Calculate the surface area of the shipping container: For the shipping container:
- Length (l) = 11 in
- Width (w) = 3 in
- Height (h) = 2 in
Using the same formula: \[ S_{container} = 2(11 \cdot 3 + 11 \cdot 2 + 3 \cdot 2) \] \[ = 2(33 + 22 + 6) \] \[ = 2(61) = 122 \text{ in}^2 \]
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Calculate the total surface area of the truck: \[ S_{total} = S_{cab} + S_{container} = 72 \text{ in}^2 + 122 \text{ in}^2 = 194 \text{ in}^2 \]
From the calculations above, please note that all options you've provided do not match with 194. However, if there was a misunderstanding with the dimensions or if other parameters are involved, please clarify them. As it stands, the total surface area based on provided dimensions is 194 in².
Considering the options, the closest provided answer does not appear in the list you provided, indicating a possible error in the dimensions or omissions.