A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy?
To calculate the amount of wrapping paper needed to wrap the toy, we need to find the surface area of the triangular prism container.
The formula for calculating the surface area of a triangular prism is:
Surface Area = 2(Base Area of Triangle) + (Perimeter of Triangle) x (Height of Prism)
First, we need to find the base area of the triangle. If we assume the base of the container is an equilateral triangle, then we can use the formula for the area of an equilateral triangle:
Base Area = (s^2 x √3) / 4, where s is the length of the side of the triangle.
Next, we need to find the perimeter of the triangle:
Perimeter = 3 x s
Given that the container is a triangular prism, we also need to know the height of the prism.
Once we plug in these values into the formula, we can find the total surface area of the container and therefore the amount of wrapping paper needed.