4.8k views
5 votes
The vault shown is in the shape of a cube if each side is 4y to the 4th power find the volume

The vault shown is in the shape of a cube if each side is 4y to the 4th power find-example-1

1 Answer

4 votes

Take into account that the volume of a cube is given by:

V = a³

where a is the side of the cube. In this case a = 4y⁴ feet. Replace this value of a into the previous expression for V:

V = (4y⁴ ft)³ = 4³y¹² ft³ = 64y¹² ft³

where you have used properties of exponents.

ence, the volume of the box with a shape of a cube is 64y¹² ft³