Question

A cuboid is of dimensions (60*50*30)cm.How many small cubes with side 6 cm can be placed in the given cuboid?

Answer 1

Answer:

415 cubes

Step-by-step explanation:

Now,

Volume of cuboid = l×b×h

                              =60×50×30

Now,

Volume of one small cube=a³

                                           =6³

                                           =6×6×6

Now,

Number of cubes =Volume of cuboid/Volume of cube

                                =60×50×30/6×6×6

                                =10×5×25/3

                               =83×5

                                = 415 cubes

Answer 2

A cuboid is of dimensions (60*50*30)cm
cube side length = 6 cm

Number of cubes that can be arranged along the length 60cm = 60 ÷ 6 = 10

Number of cubes that can be arranged along the length 50cm = 50 ÷ 6 = 8 (and 2cm will remain blank)

Number of cubes that can be arranged along the length 36cm = 36 ÷ 6 = 6

Total cubes = 10 × 8 × 6 = 480

480 cubes can be arranged in the cuboid.(ANS)