Question

Colton has a stone paperweight composed of a triangular pyramid on top of a triangular

prism with the dimensions shown below. Use the drop-down menus to explain how to

determine the volume of the paperweight.

Answer 1

1/2 * 5 * 5

4

1/3, 7

79 in³

Explanation:

The area of the base : base is shaped like a triangle ;

Area of triangle = 1/2 base * height :

Base and height = 5

Area of base = 1/2 * 5 * 5 = 12.5 in²

Volume of triangular prism = Area of base * height

Volume of triangular prism = 12.5 * 4 = 50 in³

For the triangular pyramid :

Area of base * height of pyramid *1/3

12.5 * 7 * (1/3) = 29.17

The volume of the paperweight :

Volume of triangular pyramid + volume of triangular prism

29.17 + 50

79.17 = 79 in³