Question

how many cubes of side 3 cm can be packed inside a cuboid of sides 5cm, 6cm and 12 cm?​

Answer 1

Answer:

Given

Dimension of cuboid = 10 cm × 6 cm × 9 cm

Formula Used

Volume of cube = side3

Volume of cuboid = L × B × H

Calculation

Number of cubes × Volume of cube = Volume of cuboid

⇒ Number of cubes × 33 = (10 × 6 × 9)

⇒ Number of cubes = 10 × 6 × 9/27 = 20

∴ Number of cubes is 20

Answer 2

Step-by-step explanation:

Given:

Side of small cube = 3 cm

Side of the larger cube = 15 cm

Formula used:

The volume of the cube = Side3

Total number of cube = Volume of the big cube/Volume of the small cube

Calculation:

Let the number of small cubes required to be n

∴ n = volume of big cube/volume of small cube

The volume of small cube = 33 = 27

The volume of the big cube = 153 = 3375

n = volume of big cube/volume of small cube

⇒ n = 3375/27 = 125

∴ The number of cubes separated is 125