Question

A doll manufacturer is trying to develop a special package for their Holiady Dolls in thee shape of a pyramid with a triangle base. A net of the package is shown below where F is the base of the pyramid. If the height of the package is 10 inches how many cubic inches of space are avalible for the company to fill?

Answer 1

80 in³

Explanation:

The volume of a pyramid is :

1/3 * base * height

Height = 10

The base is : the area of the triangle :

Area of triangle = 1/2 * base * height

Base = 6 inches ; height of triangle = 8 inches

Area of triangle = 1/2 * 6 * 8 = 24 inches

Base of pyramid = Area of triangle

Therefore ;

Volume of pyramid = 1/3 * 24 * 10

Volume of pyramid = 8 * 10

Cubic inches of space to fill = 80 in³