The Toblerone candy comes in a package like the triangular prism. The bases of the triangles are 2 inches with a height of 2.5 inches. The faces are 10 inches in length. What is the volume of the package?

Answer 1

To find the volume of the triangular prism package, we need to calculate the area of the triangular base first.

The area of a triangle is given by the formula:
\(A = \frac{1}{2} \times base \times height\)

Given that the base of the triangle is 2 inches and the height is 2.5 inches, we can calculate the area of the triangular base:
\(A = \frac{1}{2} \times 2 \times 2.5 = 2.5\) square inches

Next, we need to calculate the volume of the triangular prism by multiplying the area of the base by the height of the prism:
\(V = A \times height = 2.5 \times 10 = 25\) cubic inches

Therefore, the volume of the Toblerone candy package is 25 cubic inches.