Respuesta :
To calculate the total surface area of the toy truck (excluding the wheels), we need to find the surface area of each component and then add them together.
Rectangular Cab:
The cab has dimensions 3 inches by 2 inches by 6 inches.
The front and back faces each have an area of (3 inches) * (2 inches) = 6 square inches.
The top and bottom faces each have an area of (3 inches) * (6 inches) = 18 square inches.
The two side faces each have an area of (2 inches) * (6 inches) = 12 square inches.
So, the total surface area of the cab is:
2∗(6sq in)+2∗(18sq in)+2∗(12sq in)=12+36+24=72sq in.
Shipping Container:
The shipping container has dimensions 3 inches by 11 inches by 6 inches.
The front and back faces each have an area of (3 inches) * (11 inches) = 33 square inches.
The top and bottom faces each have an area of (3 inches) * (6 inches) = 18 square inches.
The two side faces each have an area of (11 inches) * (6 inches) = 66 square inches.
So, the total surface area of the shipping container is:
2∗(33 sq in)+2∗(18sq in)+2∗(66 sq in)=66+36+132=234sq in
2∗(33sq in)+2∗(18sq in)+2∗(66sq in)=66+36+132=234sq in.
Total Surface Area:
To find the total surface area of the truck, we add the surface areas of the cab and the shipping container:
72sq in+234sq in=306sq in
Therefore, the total surface area of the toy truck (excluding the wheels) is 306 square inches.