Question

A toy came in a container that is shaped like triangular prism. How much wrapping paper is needed to wrap the toy. 5.1cm 27.9cm 28.4cm 30.5

Answer 1

To calculate the amount of wrapping paper needed to wrap the triangular prism-shaped container, we need to find the total surface area of the container.

The formula to calculate the surface area of a triangular prism is:
Surface Area = 2 * base area of the triangle + perimeter of the base * height of the prism

Given:
Base of the triangular prism = 5.1 cm
Height of the triangular prism = 30.5 cm
Perimeter of the base triangle = 27.9 cm

Firstly, we need to find the area of the base triangle:
Base area of a triangle = 0.5 * base * height
Base area of the triangle = 0.5 * 5.1 cm * 30.5 cm
Base area = 77.775 cm^2

Next, we find the perimeter of the base triangle:
Perimeter of the base triangle = 27.9 cm

Now, let's calculate the total surface area of the triangular prism:
Surface Area = 2 * 77.775 cm^2 + 27.9 cm * 30.5 cm
Surface Area = 155.55 cm^2 + 850.95 cm^2
Surface Area = 1006.5 cm^2

The total surface area of the triangular prism is 1006.5 cm^2. Therefore, you will need approximately 1006.5 cm^2 of wrapping paper to wrap the toy.