Q7 of 239 Page 45

The volume of a cubical box is 19.683 cu. cm. Find the length of each side of the box.

We know that the Volume of a cube = a³ where a is the side of the cube.

But given Volume of cube = 19.683 cm³

⇒ a³ = 19.683

⇒ a =

⇒ =

= 0.9

∴ = 0.9 = a

∴ The length of each side of the box = 0.9 cm.

Find the cube root of each of the following numbers by prime Factorization method:

– 1.331

Find the cube root of each of the following numbers by prime Factorization method:

– 27000

Express the following correct to two decimal places:

12.568

Express the following correct to two decimal places:

25.416 kg

Questions · 239

1. Real Number System

1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 1 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 1 1 1 2 3