Question

A cuboidal block of 9 m , 12 m, 15 m is cut up into an exact number of equal cubes. The least possible number of cubes will be:62666460

Answer 1

Answer:

Given that

9,15,12 cuboidal block are cute into equal cubes.

The no.of possible cubes =62666460

The length of the cube cutted = 9³*15³*12³/62666469

=67.843755655

Answer 2

Answer:

60

Step-by-step explanation:

A cuboidal block of 9 m , 12 m, 15 m is cut up into an exact number of equal cubes. The least possible number of cubes will be: 62  66  64  60

cuboidal block of 9 m , 12 m, 15 m

to find least number of exact cubes we need to find HCF of all the sides of cuboid

9 = 3 * 3

12 = 3 * 4

15 = 3 * 5

Sides of cube would be 3 m each

Volume of one cube = 3 * 3 * 3 = 27 m³

Volume of cuboid = 9 * 12 * 15 = 1620 m³

Number of cubes = 1620/27 = 60

So least possible number of cubes = 60