What is the length of the side of a cube whose volume is 275 cm3. Make

1.	What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root.
Answer» The given volume of the cube = 275cm³ Let the side of the cube as ‘a’cm a³ = 275 a = ∛275 We know that value of ∛275 will lie between ∛270 and ∛280 From cube root table we get, ∛270 = 6.463 ∛280 = 6.542 By using unitary method, Difference between the values (280 – 270 = 10) So, the difference in cube root values will be = 6.542 – 6.463 = 0.079 Difference between the values (275 – 270 = 5) So, the difference in cube root values will be = (0.079/10) × 5 = 0.0395 ∛275 = 6.463 + 0.0395 = 6.5025 ∴ the answer is 6.503cm

What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root.

Answer»

The given volume of the cube = 275cm³

Let the side of the cube as ‘a’cm

a³ = 275

a = ∛275

We know that value of ∛275 will lie between ∛270 and ∛280

From cube root table we get,

∛270 = 6.463

∛280 = 6.542

By using unitary method,

Difference between the values (280 – 270 = 10)

So, the difference in cube root values will be = 6.542 – 6.463 = 0.079

Difference between the values (275 – 270 = 5)

So, the difference in cube root values will be = (0.079/10) × 5 = 0.0395

∛275 = 6.463 + 0.0395

= 6.5025

∴ the answer is 6.503cm