Question

A cuboid is of dimensions 60 cm 54 cm 30 cm. How many small cubes with side6 cm can be placed in the given cuboid?

Answer 1

Answer:

Step-by-step explanation:

volume of cuboid=L*b*h=60*54*30=97200

Smaller cuboid l*b*h=216

97200/216=450

Ans=450

Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

Given,

• Length(l) = 60 cm
• Breadth(b) = 54 cm
• Height (h) = 30 cm

∴ Volume of Cuboid = l x b x h

⇒60 x 54 x 30 cm³

The side of one cube given - 6 cm

∴ Volume of Cube = a³

⇒(6)³

⇒6 x 6 x 6 cm³

[ We don't solve Volume of Cube and Cuboid because When we find the number of cubes inside the cuboid so this Values easily divide and multiply]

∴ Number of Cubes = $\bold{\frac{volume \ of \ cuboid }{volume \ of \ one cube}}$

⇒$\bold{\frac{60 \ x \ 54 \ x \ 30}{6 \ x \ x \ 6 \ x 6}}$

⇒10 x 9 x 5

⇒450

Therefore , Number of cubes kept inside the cuboid = 450 (Answer)