Q&A for How to Find the Volume of a Cube from Its Surface Area

Not quite. The formula is slightly different. Assuming you know the length, width and height of the prism (l, w, and h), you would multiply the three values together to get the volume, or you would find twice the sum of (lw + lh + wh) to find the surface area. If you know only two of those values, but you also know either the volume or the surface area, you can work backwards to find the unknown value.

The length of an edge is the cube root of 64, which is 4 mm. The face area is 4² = 16 sq mm.

First you need to find the length of one edge using the formula for surface area: 78 = 6x^2 13 = x^2 3.61 inches = x Now that you know the length of one edge, you can plug this value into the formula for volume of a cube: v = 3.61^3 v = 3.61 x 3.61 x 3.61 v = 47.05 cubic inches

There is no solution to this. There is no number whose square is 48 and whose cube is 336. The number (the edge) would have to be something close to 6.935, but no number quite fits.

Since the volume of a cube = x^3, you need to find the cube root of the volume to find the length of one edge (x). Then use the formula 6x^2 to find the surface area. For complete instructions you can read the following article: http://www.wikihow.com/Find-the-Surface-Area-of-a-Cube

First find the cube root of 343 (which is 7). That's the length of an edge. Square that number, which gives the area of a side. Multiply that by six to get the total surface area of the cube.

You first need to use the formula for volume of a cube to find the length of an edge: v = x^3 64 = x^3 4 = x Now that you know the length of an edge (x), plug the value into the formula for surface area of a cube: SA = 6x^2 SA = (6)(4^2) SA = (6)(16) SA = 96 square meters

To find the volume of a cube, take the edge length and cube it.

Assuming the length of each edge is 1 mm, the total surface area is 6 x 1 x 1 = 6 square millimeters. The volume is 1 x 1 x 1 = 1 cubic millimeter. The numerical ratio of total surface area to volume is 6:1. (However, in a real sense there is no such thing as a ratio between area and volume, because they are expressed in different units -- square units vs. cubic units.)

First find the length of one edge: 216 = 6x^2 36 = x^2 6 = x Now that you know the length of one edge is 6 units, you can plug this value into the formula for volume of a cube: v = 6^3 v = 6 x 6 x 6 v = 216 cubic units

First find the area of the circular base: Divide the circumference by pi to get the diameter; divide by 2 to get the radius; square the radius; multiply by pi to get the base area. Next find the height of the cylinder by dividing the curved surface area by the circumference. Finally, multiply the height of the cylinder by the base area to get the volume of the cylinder.