The figures below are similar.4 mm8 mmV1 = 729 mm3 V2 = ?What is the volume of the larger rectangular prism?

To find the volume of the larger rectangular prism, we need to use the concept of similar figures and their proportions.

Step 1: Identify the scale factor. The scale factor is the ratio of the lengths of corresponding sides of similar figures. In this case, the scale factor from the smaller prism to the larger prism is 8mm/4mm = 2.

Step 2: Cube the scale factor. Since volume is a three-dimensional measurement, we need to cube the scale factor to find the ratio of the volumes of similar figures. So, 2^3 = 8.

Step 3: Multiply the volume of the smaller prism by the cubed scale factor. V2 = V1 * (scale factor)^3 = 729mm^3 * 8 = 5832mm^3.

So, the volume of the larger rectangular prism is 5832mm^3.