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20 similar cubes have a total volume of 10 240 cm3. what is the edge of 1 cube?

User Drgn
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Final answer:

The edge of 1 cube, given the total volume of 20 similar cubes is 10,240 cm³, is 8 cm.

Step-by-step explanation:

To find the edge of 1 cube when the total volume of 20 similar cubes is given (10,240 cm³), we must first find the volume of a single cube and then calculate the cube root of that volume to determine the length of one edge.

First, divide the total volume by the number of cubes:

  • Volume of 1 cube = Total volume of 20 cubes ÷ 20
  • Volume of 1 cube = 10,240 cm³ ÷ 20
  • Volume of 1 cube = 512 cm³

Next, since the volume of a cube is given by the formula V = s³ (where 'V' is volume and 's' is the side length), we can find the side length by taking the cube root of the volume:

  • Side length = ∛(Volume of 1 cube)
  • Side length = ∛(512 cm³)
  • Side length = 8 cm

The edge length of one cube is 8 cm.

User Erivan
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