The edge of a cube

How much does the edge of a cube of 54.9 cm³ measure?

Correct answer:

a =  3.8006 cm

Step-by-step explanation:

$$\begin{gathered} V=54.9{\text{cm}}^3 \\ V=a^3 \\ a=\sqrt[3]{V}=\sqrt[3]{54.9}=3.8006\text{ cm} \end{gathered}$$

Try another example

Related math problems and questions:

• Three cubes
  Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge?
• Cube into cylinder
  If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
• For thinkings
  The glass cube dive into the aquarium, which has a length of 25 cm, width 20 cm and height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge?
• Cube surfce2volume
  Calculate the volume of the cube if its surface is 150 cm².
• Cube basics
  How long is the edge length of a cube with volume 15 m³?
• Cube edge
  Determine the edges of the cube when the surface is equal to 37.5 cm square.
• Cube edges
  If the edge length of the cube increases by 50%, how does the volume of this cube increase?
• The cube
  The cube has a surface of 600 cm². What is its volume?
• Cube surface and volume
  The surface of the cube is 500 cm², how much cm³ will be its volume?
• Volume and area
  What is the volume of a cube which has an area of 361 cm²?
• Length of the edge
  Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number.
• Cube containers
  Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?
• Cube diagonals
  Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³.
• Tetrahedral prism
  The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge, if you know that the prism volume is 2187 cm³.
• Calculate
  Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
• The cube
  The cube has a surface area of 216 dm². Calculate: a) the content of one wall, b) edge length, c) cube volume.
• Two boxes-cubes
  Two boxes cube with edges a=38 cm and b = 81 cm is to be replaced by one cube-shaped box (same overall volume). How long will be its edge?