Find the length of one edge of a cube if its lateral surface area is 144 square centimeters.

The length of one edge of the cube is 6 centimeters.

Step-by-step explanation:

The lateral surface area of a cube is

where a is the length of one edge of a cube.

It is given that the lateral surface area of the square is 144 square centimeters.

Substitute A=144 in the above formula.

Divide both sides by 4.

Taking square root both the sides.

Therefore the length of one edge of the cube is 6 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