Arectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 units. how many 1/3 units does it take to fill the prism?

108 cubes

Step-by-step explanation:

step 1

Find the volume of the cube with side length of 1/3 units

The volume of the cube is equal to

where

b is the side length

we have

substitute

step 2

To find how many cubes are needed to fill the prism, divide 4 cubic units (volume of the rectangular prism) by 1/27 cubic units (volume of one cube)

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is