Question

The toy came in a container this is shaped like a triangular prism. How much wrapping paper is needed to wrap it?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find out how much wrapping paper is needed to wrap the toy, we need to calculate the surface area of the triangular prism.

The surface area of a triangular prism can be calculated using the formula:

Surface Area = 2 * base area + lateral area

First, we need to calculate the base area of the triangular prism. Since the base of the triangular prism is a triangle, we can calculate the area of the triangle using its base and height. Let's say the base of the triangle is 5 cm and the height is 8 cm. The area of the base triangle can be calculated as:

Base Area = 0.5 * base * height
Base Area = 0.5 * 5 cm * 8 cm
Base Area = 20 square cm

Now, we need to calculate the lateral area of the triangular prism. The lateral area of a triangular prism can be calculated by multiplying the perimeter of the base triangle by the height of the prism. In this case, let's assume the perimeter of the base triangle is 15 cm and the height of the prism is 10 cm. The lateral area of the triangular prism can be calculated as:

Lateral Area = perimeter * height
Lateral Area = 15 cm * 10 cm
Lateral Area = 150 square cm

Therefore, the surface area of the triangular prism can be calculated as:

Surface Area = 2 * base area + lateral area
Surface Area = 2 * 20 square cm + 150 square cm
Surface Area = 40 square cm + 150 square cm
Surface Area = 190 square cm

So, you would need 190 square cm of wrapping paper to wrap the toy that comes in a container shaped like a triangular prism.