Question

2. If length of diagonal of a cube is 3root3 cm then find volume?​

Answer 1

Answer:

27cm³

Step-by-step explanation:

Get this straight:

Diagonal of a cube= s√3

Therefore, 3√3 = s√3

or, side= 3cm

Now, volume = s³

Therefore volume= 27cm³

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Answer 2

We know,

Diagonal of cube = $s \sqrt{3}$

Diagonal of cube = (3√3) cm

Let side of the cube = (a) cm

∴ a√3 = 3√3

⇒ a = 3 cm

Now, volume of cube = $s^3$

∴ Volume = (3 cm)³ = 27 cm³ (answer).

More:-

Formulae related to cube:-

1. TSA = $6a^2$
2. CSA = $4a^2$
3. Volume = $a^3$
4. Diagonal = $a \sqrt{3}$.