Question

the number of 6m cubes that can be formed from another cuboid measuring 18m×12m×9m​

Answer 1

Answer:

9

Step-by-step explanation:

n = number of cubes

i.e. n = volume of cuboid / volume of cube

n = 18m * 12m * 9m /( 6m )^ 3

n = 1944m / 216 m

n = 9

So, 9 cubes can be made.

Answer 2

Given:

The side of the cube is The measurement of the cuboid is 18m×12m×9m.

To find:

The number of 6m cubes that can be made from a cuboid.

Solution:

The number of 6m cubes that can be formed from a cuboid is 9.

To answer this question, we will follow the following steps:

As we know the volume of a cube having side 'a' is given by:

${a}^{3}$

Now, as given,

We have,

The side of the cube = 6m

So,

The volume of the cube

$= 6m \times 6m \: \times 6m \: \: (i)$

Also given,

The measurement of cuboid = 18m×12m×9m.

So,

The volume of the cuboid

$= length \: \times \: breadth \: \times height$

$= 18m×12m×9m \: \: (ii)$

Hence, the number of cubes that can be made from cuboid

$= \frac{volume \: of \: cuboid}{volume \: of \: cube}$

$= \frac{18 \times 12 \times 9}{6 \times 6 \times 6}$ ...from (i) and (ii)

$= 9$

Hence, 9 cubes can be formed from a cuboid.