Question

how many small cube of side 12 cm can be cut from a volume 25920 how much will be remaining

Answer 1

Given - total volume out of which the cubes are to be cut = 25920 cm³.

side of a cube to be cut = 12 cm.

To find - number of cubes of side 12cm that can be cut from a volume of 25920 cm³.

Solution - total volume = 25920 cm³

side of a small cube to be cut = 12 cm

volume of a cube = (side)³

volume of the small cube to be cut = (12)³

=

$12 \times 12 \times 12$

= 1728 cm³

total number of cubes that can be cut =

$\frac{total \: volume}{volume \: of \: 1 \: cube}$

$\frac{25920}{1728}$

= 15

Answer- 15 cubes of side 12cm can be cut from a volume of 25920cm³.