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 answer

To find the total surface area of the toy truck excluding the wheels, we need to calculate the surface area of each individual component (cab and shipping container) and then add them together.

1. Calculating the surface area of the rectangular cab:
Assuming the dimensions of the cab are length (L), width (W), and height (H), the surface area of a rectangular solid is calculated as follows:
- Front and back faces (2 x L x H)
- Top and bottom faces (2 x W x H)
- Left and right faces (2 x L x W)

Therefore, the total surface area of the cab is:
(2 x L x H) + (2 x W x H) + (2 x L x W)

2. Calculating the surface area of the shipping container:
Assuming the dimensions of the shipping container are length (L), width (W), and height (H), the surface area of a rectangular solid is calculated similarly:
- Front and back faces (2 x L x H)
- Top and bottom faces (2 x W x H)
- Left and right faces (2 x L x W)

Therefore, the total surface area of the shipping container is:
(2 x L x H) + (2 x W x H) + (2 x L x W)

To find the total surface area of the toy truck, we add the surface areas of the cab and shipping container:
Total surface area = (2 x L x H) + (2 x W x H) + (2 x L x W) + (2 x L x H) + (2 x W x H) + (2 x L x W)

Simplifying, we get:
Total surface area = 2 x (2 x L x H + 2 x W x H + 2 x L x W)

This gives us the total surface area of the toy truck excluding the wheels.