3 in.
2 in.
6
3 in.
11 in.
A toy truck is comprised of a rectangular cab and a shipping container that it is carrying. Wha
is the
total surface area of the truck (excluding the wheels)?
(1 point)

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.

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