Question

Owen draws the cube shown. Pat draws a cube with a side length that is 3 units
greater than the side length of Owen’s cube. Carly draws a cube with a side
length that is 1/2 the side length of Pat’s cube. What is the volume, in cubic inches, of Carly’s cube?

Answer 1

Answer:

• The volume of Carly's cube is 125 in³

Explanation:

The volume of a cube is calculated as the length of the side raised to the cube:

• Volume = side³

1. Cube drawn by Owen

From the drawing:

• Side = 7 in

2. Cube drawn by Pat

Side length  is 3 units greater than the side length of Owen’s cube:

• Side = 7in + 3in = 10 in

3. Cube drawn by Carly

Side length is 1/2 the side length of Pat’s cube:

• Side = (1/2) × 10 in = 5 in

• Volume = (5 in)³ = 125 in³