Cube surface and volume

The surface of the cube is 500 cm², how much cm³ will be its volume?

Correct answer:

V =  760.7258 cm³

Step-by-step explanation:

$$\begin{gathered} S=500{\text{cm}}^2 \\ S=6a^2 \\ a=\sqrt{S\mathrm{/}6}=\sqrt{500\mathrm{/}6}\doteq 9.1287\text{ cm } \\ V=a^3=9.1287^3=760.7258{\text{cm}}^3 \end{gathered}$$

Try another example

Related math problems and questions:

• Cube 6
  Volume of the cube is 216 cm³, calculate its surface area.
• Cube surfce2volume
  Calculate the volume of the cube if its surface is 150 cm².
• Cube volume
  The cube has a surface of 384 cm². Calculate its volume.
• Area to volume
  If the surface area of a cube is 486, find its volume.
• Area of a cube
  Calculate the surface area of a cube if its volume is equal to 729 cubic meters.
• The cube
  The cube has a surface of 600 cm², what is its volume?
• Volume and area
  What is the volume of a cube which has an area of 361 cm²?
• The cube
  The cube has a surface area of 216 dm². Calculate: a) the content of one wall, b) edge length, c) cube volume.
• Magnified cube
  If the lengths of the edges of the cube are extended by 5 cm, its volume will increase by 485 cm³. Determine the surface of both the original and the magnified cube.
• Prism X
  The prism with the edges of the lengths x cm, 2x cm, and 3x cm has volume 20250 cm³. What is the area of the surface of the prism?
• Diameter = height
  The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume.
• Equilateral cylinder
  Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm³ . Calculate the surface area of the cylinder.
• Uboid volume
  Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm²
• Sphere A2V
  The surface of the sphere is 241 mm². What is its volume?
• Cube walls
  Find the volume and surface area of the cube if the area of one wall is 40cm².
• Cube surface and volume
  Find the surface of the cube with a volume of 27 dm³.
• The cube
  The cube has a surface area of 486 m ^ 2. Calculate its volume.