Question

Q15: If the volume of a cube is 729 m³, then the length of its side is
1. 11 m
2. 10 m
3. 9 m
4. 12 m​

Answer 1

Answer:

9m

Step-by-step explanation:

VOLUME OF A CUBE IS S³

VOLUME=729

THEN SIDE³=³√729(here ³√ means cube root)

SO THE SIDE WILL BE 9

BECAUSE 9³=729

SO THEREFORE THE ANSWER IS 9m

Answer 2

Answer:

• The length of its side is 9m (3. 9 m)

Step by step explanation :-

To find :-

• The length of the side of cube.

Given that,

• Volume of cube = 729m³

We know that,

$\longmapsto \bf Volume \: of \: cube = {l}^{3}$

Where,

• Volume = 729m³

Therefore,

$\longmapsto \bf 729 = {l}^{3} \\ \\ \\ \longmapsto \bf \sqrt[3]{729} = l \\ \\ \\ \longmapsto \bf \orange{ l = 9m}$

Hence, Length of the side is 9m.

Verification:

Using the same formula,

$\longmapsto \bf {l}^{3} = volume \\ \\ \\ \longmapsto \bf {9}^{3} = 729 \\ \\ \\ \longmapsto \bf 729 = 729$

LHS = RHS

Hence, Verified!