Question

The figure below shows a rectangular prism and a cube: A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch. How many such cubes are required to completely pack the prism without any gap or overlap? 288 576 1,152 1,636 Please Help

Answer 1

288

Step-by-step explanation:

just count by

Vr : Vc

Vr = Volume of rectangular

Vc = Volume of cube

Vr : Vc

4 * ¾ * 1 ½ : ¼ * ¼ * ¼

4.5 : 1/64

4.5 * 64 = 288 cubes needed