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Answers
Answer:
3:2
Step-by-step explanation:
Let the length,breadth and height of the pipe be 6x,3x and x.
(i)
Given that Surface area of a cube = Surface area of pipe.
⇒ 6S² = 2(lb + bh + hl)
⇒ 6S² = 2(6x * 3x + 3x * x + x * 6x)
⇒ 6S² = 54x²
⇒ S = 3x units.
(ii)
Volume of cube = S³
= (3x)³
= 27x³
(iii)
Volume of the pipe = l * b * h
= 6x * 3x * x
= 18x³
From (ii),(iii), we get
Ratio = (27x³)/18x³
= 3/2
= 3 : 2
Hope it helps!
Given that Surface area of a cube = Surface area of pipe.
⇒ 6S² = 2(lb + bh + hl)
⇒ 6S² = 2(6x * 3x + 3x * x + x * 6x)
⇒ 6S² = 54x²
⇒ S = 3x units.
(ii)
Volume of cube = S³
= (3x)³
= 27x³
(iii)
Volume of the pipe = l * b * h
= 6x * 3x * x
= 18x³
From (ii),(iii), we get
Ratio = (27x³)/18x³
= 3/2
= 3 : 2