Question

A
cuboid is of dimensions 60 cm x 54 cm x 30 cm. How many small cubes with side 6 cm can be placed in the given coboid

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Answer 1

Answer:

450 cubes

Step-by-step explanation:

Dimensions of cuboid = 60cm × 54cm × 30cm

Volume of cuboid = (60×54×30) cm³ = 97,200 cm³

Side of cube = 6cm

Volume of cube = (side)³ = (6×6×6) cm³ = 216 cm³

Number of cubes placed = 97,200 ÷ 216 = 450

Answer 2

✬ Cubes = 450 ✬

Step-by-step explanation:

Given:

• Dimensions of cuboid are 60 cm × 54 cm × 30 cm.
• Measure of side of small cube is 6 cm.

To Find:

• How many small cubes can be placed in cuboid ?

Solution: Let x cubes can be placed in the cuboid.

• Now to find the value of x , all we need to do is - Divide the volume of cuboid by the volume of cube.

★ Volume of Cuboid = l × b × h ★

• l = Length

• b = Breadth

• h = Height

A/q

• l = 60 cm , b = 54 cm , h = 30 cm

$\implies{\rm }$ ( 60 × 54 × 30 ) cm³

$\implies{\rm }$ 97200 cm³

So the volume of cuboid is 97200 cm³.

★ Volume of Cube = Side³ ★

$\implies{\rm }$ ( 6cm )³

$\implies{\rm }$ 216 cm³

So the volume of cube is 216 cm³

∴ x = Vol. Cuboid/Vol. cube

➟ x = 97200/216

➟ x = 450 cubes

Hence, 450 small cubes with side 6 cm can be placed in the cuboid.