The total surface area is 150mm2 and the volume of the cube 125mm3
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]
First you can use the volume to determine the side legnth of a cube. The legnth of a sideis equal to the cube root of its volume. In this case the volume is 125 and the cubed root of 125 is 5. So the legnth of a side is 5. The area of one side of the cube is equal to the width times the height. In this case, the area of the side is 5 times 5, or 25. The surface area is the area of all sides of the cube. The cube has 6 sides, each with an area of 25. So the surface area is 6 times 25 or 150. The reduced equation would be SA = 6 times (Volume to the 2/3 power)
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.
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.
A cube with area 294cm2 has a volume of 343cm3 A cube with edge length 17.1cm has a volume of about 5000.21cm3
If a cube has sides of length x cm then area = 6x2 cm2 and volume = x3 cm3
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.
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
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.
The volume of a cube is the length of the side, cubed.The area of a cube is 6 times (the length of a side squared).