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Aditya constructed a cubical tank with a capacity of 91125 cubic feet for water to catch rainwater. He uses this water to irrigate his garden's plants. What is the height of the tank ?

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44 ft

45 ft

46 ft

47 ft

answer is B.

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Detailed Solution

Here, it is stated that Aditya built a cubical tank with a capacity of 91125 cubic feet to collect rainwater.
If a cube's side is x units, then its volume is

x 3

units.
So, by the given condition,

x 3 = 91125 ⇒ x 3 = 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 ⇒ x = 3 × 3 × 5 ⇒ x = 45

Therefore, the tank's height is 45 ft.
Hence, option 2 is correct.

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