Question

what is the volume of the figure below, which is composed of two cubes with side lengths of 9 units? note: figure is not drawn to scale. a. 1,458 cubic units b. 54 cubic units c. 729 cubic units d. 810 cubic units

Explanation:

Step1: Find volume of one cube

The volume formula for a cube is $V = s^3$, where $s$ is the side - length. Given $s = 9$ units, so $V_1=9^3=9\times9\times9 = 729$ cubic units.

Step2: Find volume of two cubes

Since the figure is composed of two such cubes, $V = 2\times V_1$. Substitute $V_1 = 729$ into the formula, we get $V=2\times729 = 1458$ cubic units.

Answer:

A. 1,458 cubic units