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 :

$\text{Volume of pyramid = }\frac{1}{3}\text{ }\times\text{ area of base }\times\text{ height}$

The formula for the volume of a triangular prism:

$\text{Volume = base area }\times\text{ height}$

The volume of the shape is thus:

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