Making use of the cube root table, find the cube root of the following

1.	Making use of the cube root table, find the cube root of the following (correct to three decimal places):(i) 7 (ii) 70 (iii) 700 (iv) 7000
Answer» (i) 7 As we know that 7 lies between 1 and 100 so by using cube root table we get, ∛7 = 1.913 ∴ the answer is 1.913 (ii) 70 As we know that 70 lies between 1 and 100 so by using cube root table from column x We get, ∛70 = 4.121 ∴ the answer is 4.121 (iii) 700 700 = 70×10 By using cube root table 700 will be in the column ∛10x against 70. So we get, ∛700 = 8.879 ∴ the answer is 8.879 (iv) 7000 7000 = 70×100 ∛7000 = ∛(7×1000) = ∛7 × ∛1000 By using cube root table, We get, ∛7 = 1.913 ∛1000 = 10 ∛7000 = ∛7 × ∛1000 = 1.913 × 10 = 19.13 ∴ the answer is 19.13

Making use of the cube root table, find the cube root of the following (correct to three decimal places):(i) 7 (ii) 70 (iii) 700 (iv) 7000

Answer»

(i) 7

As we know that 7 lies between 1 and 100 so by using cube root table we get,

∛7 = 1.913

∴ the answer is 1.913

(ii) 70

As we know that 70 lies between 1 and 100 so by using cube root table from column x

We get,

∛70 = 4.121

∴ the answer is 4.121

(iii) 700

700 = 70×10

By using cube root table 700 will be in the column ∛10x against 70.

So we get,

∛700 = 8.879

∴ the answer is 8.879

(iv) 7000

7000 = 70×100

∛7000 = ∛(7×1000)

= ∛7 × ∛1000

By using cube root table,

We get,

∛7 = 1.913

∛1000 = 10

∛7000 = ∛7 × ∛1000

= 1.913 × 10

= 19.13

∴ the answer is 19.13