Question

2. Find the volume of the cube whose each edge is:
(a) 17 cm (b) 10.5 cm (c) 344 m​

Answer 1

Using Identity:-

Volume of cube = (edge)³

Solution :-

a) 17cm

⇒ Volume of cube = (edge)³

⇒ V = (17cm)³

⇒ V = (17 × 17 × 17)cm³

⇒ V = 4913cm³

b) 10.5cm

⇒ Volume of cube = (edge)³

⇒ V = (10.5cm)³

⇒ V = (10.5 × 10.5 × 10.5)cm³

⇒ V = 1157.6cm³

c) 344m

⇒ Volume of cube = (edge)³

⇒ V = (344m)³

⇒ V = (344 × 344 × 344)m³

⇒ V = 40707584m³

More identities of cube:-

• Total surface of cube = 6(a)²

• Volume of cube = l×w×h = (a)³ [used above]

• Diagonal of cube = √3a

Similar question:-

https://brainly.in/question/33836854

Answer 2

Correct Question-:

• Find the volume of the cube whose each edge is:
• (a) 17 cm
• (b) 10.5 cm
• (c) 344 m

AnswEr-:

• A ) $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= 4913cm³ }}}}}$
• B ) $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= 1157.625cm³ }}}}}$
• C ) $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= 40707584m³ }}}}}$

Explanation-:

Given-:

• The edges of cubes are -:
• A ) 17 cm
• B ) 10.5 cm
• C ) 344 m

To Find-:

• The Volume of each cubes .

Solution-:

• $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= \:Edge \times Edge \times Edge }}}}}$

A ) The edge of cube is 17 cm .

Now ,

• $\implies{\sf{\large {Volume_{Cube}= 17 \times 17 \times 17}}}$
• $\implies{\sf{\large {Volume_{Cube}= 289 \times 17}}}$
• $\implies{\sf{\large {Volume_{Cube}= 4913cm³}}}$

Therefore,

• $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= 4913cm³ }}}}}$

B ) The edge of cube is 10.5 cm .

Now ,

• $\implies{\sf{\large {Volume_{Cube}= 10.5 \times 10.5 \times 10.5 }}}$
• $\implies{\sf{\large {Volume_{Cube}= 110.25 \times 10.5}}}$
• $\implies{\sf{\large {Volume_{Cube}= 1157.625cm³}}}$

Therefore,

• $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= 1157.625cm³ }}}}}$

C ) The edge of cube is 344 m .

Now ,

• $\implies{\sf{\large {Volume_{Cube}= 344 \times 344 \times 344 }}}$
• $\implies{\sf{\large {Volume_{Cube}= 118336 \times 344}}}$
• $\implies{\sf{\large {Volume_{Cube}= 40707584m³}}}$

Therefore,

• $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= 40707584m³ }}}}}$

♤ Final AnswEr-:

• A ) $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= 4913cm³ }}}}}$
• B ) $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= 1157.625cm³ }}}}}$
• C ) $\underline{\boxed{\star{\sf{\blue{ Volume_{(Cube)}\:= 40707584m³ }}}}}$

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