What effect would tripling all the dimensions of a triangular prism have on the volume of the prism? Complete the explanation.

If both the base and height of the triangular base are tripled, the area of the base is multiplied by _______ . Tripling the height of the prism as well means the volume of the prism is multiplied by _______.

Respuesta :

If you triple the length of a single dimension object, you get x3 the size. If you triple the area of a 2nd dimension object, you get x3^2 the size. If you triple the volume of a three-dimensional object you get x3^3 the size.

The base will be x3^2 or 9 times larger.

If you triple the height as well as the base, you are increasing 3 dimensions, so you are increasing the volume to the third power, or 27 times larger.

9, 27