A rectangular prism is filled with 810 cubes with an edge length of 1/3 cm. What is the volume of this prism?

30 cubic centimeters

Step-by-step explanation:

The edge length given in the question for one cube is cm.

We know volume of a cube with edge length is calculated as

Thus volume of one cube = cubic centimeters

So,

The volume of 810 cubes = = 30 cubic centimeters

As the prism is filled with total 810 cubes, so the volume of the prism will be equal to the volume of 810 cubes i.e. 30 cubic centimeters.

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