The cube

The cube has a surface area of 486 m ^ 2. Calculate its volume.

Correct answer:

V =  729 m³

Step-by-step explanation:

$$\begin{gathered} S=486{\text{m}}^2 \\ S=6a^2 \\ a=\sqrt{S\mathrm{/}6}=\sqrt{486\mathrm{/}6}=9\text{ m } \\ V=a^3=9^3=729{\text{m}}^3 \end{gathered}$$

Try another example

Related math problems and questions:

• Area to volume
  If the surface area of a cube is 486, find its volume.
• The cube
  The cube has a surface of 600 cm². What is its volume?
• Cube V2S
  The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
• The cube
  The cube has a surface area of 216 dm². Calculate: a) the content of one wall, b) edge length, c) cube volume.
• Cube surfce2volume
  Calculate the volume of the cube if its surface is 150 cm².
• Tereza
  The cube has an area of base 256 mm². Calculate the edge length, volume, and area of its surface.
• The cube
  The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges
• Special cube
  Calculate the edge of cube, if its surface and its volume is numerically equal number.
• Cuboid to cube
  A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube.
• Cube 5
  The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
• Cube basics
  How long is the edge length of a cube with volume 15 m³?
• Edges or sides
  Calculate the cube volume, if the sum of the lengths of all sides is 276 cm.
• Volume and area
  What is the volume of a cube which has an area of 361 cm²?
• The schoolyard
  The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m² and has a square shape again. How many meters was each side of the yard enlarged?
• Cube surface and volume
  Find the surface of the cube with a volume of 27 dm³.
• Cube 6
  Volume of the cube is 216 cm³, calculate its surface area.
• Rectangular cuboid
  The rectangular cuboid has a surface area 5334 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.