The formula a=6v exponent 2/3 relates the surface area a, in square units, of a cube to the volume v, in cubic units. what is the volume, in cubic inches, of a cube with surface area 486 in.2?

The area of a shape is the amount of space the shape occupies, while the volume is the amount of space in it.

The equation is given as:

First, we make V the subject of formula

Divide both sides by 6

Take 3/2th root of both sides

Rewrite as:

Substitute 486 for A

Express 81 as

Hence, the volume is 729

Read more about areas and volumes at:

link

729 in³

Step-by-step explanation:

Fill in the given numbers in the formula and solve for V.

... A = 6V^(2/3) . . . . . . the given formula

... 486 = 6V^(2/3) . . . . with the given area filled in

... 81 = V^(2/3) . . . . . . . divide by 6

... 81^(3/2) = V . . . . . . . raise to the 3/2 power. (2/3)·(3/2) = 1, so we have V on the right

... 729 = V . . . . in³

You may have noticed that (81 in²)^(3/2) becomes 729 in³. The exponent operations work on the units, too.

okay so 15.15 *()5: +5/6

step-by-step explanation:

you have 6 cupcakes