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Q: What is the surface area volume of a cube that is 5mm in length?

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To tackle this you first need to know the equations for both volume and surface area. The surface area of a cube is 6x2 where x is the side length. The volume of the cube is x3. Thus x is the cube root of the volume. We can substitute this in to the surface area equation and say that the surface area of a cube is 6volume2/3 This can also be rearranged to say that the volume of the cube is (the surface area/6)1.5

This should be solved in two steps. 1) Use the formula for the area of a cube, and solve for the length of a side of the cube. 2) Using this length, it is easy to find out the volume, with the formula for the volume of a cube.

If each edge of a cube is w, then the area of each face of the cube is w2 .Since the cube has 6 faces, its total surface area is 6w2.The volume of the cube is w3 .

The volume of any cube is (length of one side)3The surface area is (length of one side)2 x 6 [since a cube has six sides]

Volume = 11x11x11 = 1331 inches Surface area = 11x11x6 = 726 inches

Related questions

Surface Area of Cube is 6 x a^2 where a is the length of one side of cube. Volume of Cube is a^3 where a is the length of one side of cube.

For a cube with sides of length x, surface area = 6x2 and volume = x3.

Length = 9cm and total surface area is 486cm2

The ratio of the surface area of a cube to its volume is inversely proportional to the length of its side.

A cube with area 294cm2 has a volume of 343cm3 A cube with edge length 17.1cm has a volume of about 5000.21cm3

To tackle this you first need to know the equations for both volume and surface area. The surface area of a cube is 6x2 where x is the side length. The volume of the cube is x3. Thus x is the cube root of the volume. We can substitute this in to the surface area equation and say that the surface area of a cube is 6volume2/3 This can also be rearranged to say that the volume of the cube is (the surface area/6)1.5

Take the cube root of the volume to get the length of an edge. Square this number to get the area of a side, Multiply this by 6 to get the total surface area of the cube.

If a cube has sides of length x cm then area = 6x2 cm2 and volume = x3 cm3

The volume of a cube that has a surface area of 343 is 432.2

This should be solved in two steps. 1) Use the formula for the area of a cube, and solve for the length of a side of the cube. 2) Using this length, it is easy to find out the volume, with the formula for the volume of a cube.

From the surface area, calculate the length of each side: area = 6 x side2.Once you know this side, you can get the cube of it, to obtain the volume.

384 mm2

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