A truck's cargo bed has the dimensions shown. What is the approximate total surface area of the truck and its bed? Round the answer to the nearest tenth. (1 point) 654.5 ft.2 1,927.5 ft.2 714.5 ft.2 684.5 ft.2

1 answer

To calculate the total surface area of a truck including its cargo bed, we need to consider both the truck's body and the cargo bed separately.

However, since you haven't provided the specific dimensions of the truck and its cargo bed, I can provide a general methodology to find the total surface area:

  1. Calculate the surface area of the cargo bed: The cargo bed can be considered a rectangular prism. The surface area (SA) can be calculated with the formula: \[ SA_{cargo\ bed} = 2lw + 2lh + 2wh \] where \(l\) is the length, \(w\) is the width, and \(h\) is the height of the bed.

  2. Calculate the surface area of the truck's body: For the truck itself, depending on its shape, you can consider it as a combination of rectangles or simpler shapes to find the total surface area.

  3. Add the two surface areas together: \[ Total\ Surface\ Area = SA_{truck} + SA_{cargo\ bed} \]

  4. Round to the nearest tenth: After you find the total surface area, round it off to the nearest tenth as requested.

If you provide the specific dimensions of the truck and its cargo bed, I could help you compute the exact total surface area. Without this, I can only guide you on the methodology.