Question

what are the dimensions of a cube that has the same volume and surface area​

Answer 1

Step-by-step explanation:

Units of Measure

Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three-dimensions.

You can multiply the sides in any order.

Which side you call length, width, or height doesn't matter.

Answer 2

Step-by-step explanation:

A cube has sides of equal length. The volume of a cube is the side length cubed. A rectangular prism has a volume that is length times width time height.

Let x = the side length of the cube

Using this variable, set up an equation that show that the volume of the cube has the same volume as the rectangular prism.

x3 = 9 * 8 * 24

Solve for x from this equation.

or

Since cube has 6 sides, size would be 6 units

Surface area 6 units x 6 units x 6 sides = 216 sq units

Volume 6 units x 6 units x 6 units = 216 cubic units