Question

Colton has a stone paperweight composed of a triangular pyramid on top of a triangularprism with the dimensions shown below. Use the drop-down menus to explain how todetermine the volume of the paperweight.7 in.4 in.5 in.5 in.--X+=

Answer 1

The provided figure is a composite solid shape composed of a pyramid and a triangular prism.

The volume of the figure is thus:

`Volume=V\text{olume of the pyramid + volume of triangular prism}`

The formula for the volume of pyramid is :

`\text{Volume of pyramid = }(1)/(3)\text{ }*\text{ area of base }*\text{ height}`

The formula for the volume of a triangular prism:

`\text{Volume = base area }*\text{ height}`

The volume of the shape is thus: