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 5 inches, the width is 4 over 5 inch, and its height is 1 and 3 over 5 inches. the cube has a side length of 1 over 5 inch. how many such cubes are required to completely pack the prism without any gap or overlap? 160 800 2,548 4,000

Step-by-step explanation:

Step 1

Find the volume of the prism

we know that

The volume of the prism is equal to

In this problem we have

substitute the values

Step 2

Find the volume of the cube

we know that

the volume of the cube is equal to

where

substitute

Step 3

Divide the volume of the prism by the volume of the cube

perimeter of the base times height

step-by-step explanation:

t= half of the arc subtended by t.

r= half of the arc subtended by r.  

t+r= half of the arc subtended by t + half of the arc subtended by r= half of 360=180

step-by-step explanation: