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

not sure but it may be b, as i said i'm not sure.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!