Question

In a cuboid having the measurement of 60 cm X 54 cm X 30 cm, how many cubes of 6 cm length can be arranged?

Answer 1

(60×54×30)/(6×6×6)
10×9×5
450cubes

Answer 2

Answer:

450

Step-by-step explanation:

As per the question,

Given a cuboid having dimensions of 60 cm X 54 cm X 30 cm

That is,

Length = 60 cm

Breadth = 54 cm

Height = 30 cm

As we know that volume of the cube is given by formula,

V = l × b × h

∴ Volume of cuboid =  l × b × h

= 60 cm X 54 cm X 30 cm

= 97200 cm³

Now,

Smaller cube of side = 6 cm

∴ Volume = 6 × 6 × 6 = 216 cm³

Let the total number of smaller cube = n

∴ Total volume = 216n = 97200

216 n = 97200

n =  450

Hence, number of smaller cube of length 6 cm that can be arranged = 450.