Question

A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number.

(1 point)

Answer 1

To calculate the amount of wrapping paper needed, we need to find the surface area of the triangular prism.

The formula for finding the surface area of a triangular prism is:
Surface Area = 2B + Ph
where B is the area of the triangular base, P is the perimeter of the base, and h is the height of the prism.

Let's assume the dimensions of the triangular prism are as follows:
Base of the triangle = 6 cm
Height of the triangle = 8 cm
Height of the prism = 10 cm

First, we need to find the area of the triangular base:
Area = 0.5 * base * height
Area = 0.5 * 6 * 8
Area = 24 cm^2

Next, we need to find the perimeter of the triangular base:
Perimeter = sum of all sides of the triangle
Perimeter = 6 + 6 + 8
Perimeter = 20 cm

Now, we can find the surface area of the prism:
Surface Area = 2 * 24 + 20 * 10
Surface Area = 48 + 200
Surface Area = 248 cm^2

Therefore, approximately 248 cm^2 of wrapping paper is needed to wrap the toy. Rounded to the nearest whole number, it would be 248 cm^2.