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
To calculate the amount of wrapping paper needed, we need to find the surface area of the triangular prism container.
A triangular prism has 5 faces - 2 triangular faces and 3 rectangular faces.
To calculate the surface area, we can break it down into the surface areas of the individual shapes and add them up.
Let's assume the dimensions of the triangular prism container are:
Base of the triangle (b) = 5 cm
Height of the triangle (h) = 4 cm
Length of the prism (l) = 8 cm
Surface area of the triangular faces:
Area = (1/2) * base * height = (1/2) * 5 * 4 = 10 cm^2
Surface area of the rectangular faces:
2 * length * width = 2 * 5 * 8 = 80 cm^2
Total surface area = 2 * triangle area + 3 * rectangle area = 2 * 10 + 3 * 80 = 250 cm^2
Therefore, approximately 250 cm^2 of wrapping paper is needed to wrap the toy round.