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

Let's assume the base of the triangle is an equilateral triangle with side length x, and the height of the prism is y.

The base area of the triangle can be calculated using the area formula for an equilateral triangle:
Base Area = (sqrt(3) / 4) * x^2

The perimeter of the triangle can be calculated by multiplying the side length by 3:
Perimeter = 3 * x

Now we can plug these values into the formula for the surface area of the triangular prism:
Surface Area = 2 * (sqrt(3) / 4) * x^2 + 3 * x * y

Rounded to the nearest whole number, the amount of wrapping paper needed.