Question

How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?
10
100
1000
10000

Answer 1

Answer:

c. is correct-1000

Step-by-step explanation:

edge of the small Cube=20cm

Volume of the cube=side^3

=20*20*20

=8000cm^3

Edge of the Cubical box=2m=200cm

Volume of the box=200*200*200

=8000000cm^3

Now divide both the volumes= 8000000/8000

=1000

So, 1000 small cubes can be accommodate in the cubical box.

Hope it helps...............

Answer 2

1000 Small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge

Given:

Small cubes with edge of 20 cm

Cubical box of 2 m edge

To Find:

Number of small boxes that can be accommodated in larger box

Solution:

Volume of cube = (edge length)³

1 m = 100 cm

Step 1:

Use 1 m = 100 cm and convert 2m in cm

2 x 100 = 200 cm

Step 2:

Find Volume of large cubical box using edge length = 200 cm

=(200)³

= (20 × 10)³

= (20)³ × (10)³  cm³

Step 3:

Find Volume of small cube using edge length  20  cm

=(20)³ cm³

Step 4:

Divide Volume of larger cubical box by  Volume of small cube to find number of cubes that can be accommodated:

=  (20)³ × (10)³ / (20)³

= (10)³

= 1000

1000 Small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge