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? (1 point) Responses 25 cubic in. 25 cubic in. 8.33 cubic in. 8.33 cubic in. 50 cubic in. 50 cubic in. 12.5 cubic in. 12.5 cubic in. Skip to navigation
To find the volume of the package, we first need to find the area of one of the triangular faces.
The area of a triangle is given by the formula: A = 1/2 * base * height
A = 1/2 * 2 * 2.5
A = 2.5 square inches
Since there are two triangular faces on the package, the total area of the triangular faces is 2 * 2.5 = 5 square inches.
Now, we need to find the area of the rectangular face.
The area of a rectangle is given by the formula: A = length * width
A = 10 * 2
A = 20 square inches
Finally, we can find the volume of the triangular prism package by multiplying the total area of all the faces by the depth of the package.
V = (5 + 20) * 2
V = 50 cubic inches
Therefore, the volume of the Toblerone candy package is 50 cubic inches.
Correct response: 50 cubic in.