Question

The YMCA lap pool is a right rectangular prism 36.8\, \text{m}36.8m36, point, 8, start text, m, end text long by 20 \,\text{m}20m20, start text, m, end text wide. The pool contains 1472 \text{ m}^31472 m
3
1472, start text, space, m, end text, cubed of water.
How deep is the water in the pool?

Answer 1

$\sf{\huge{\underline{\green{Given :-}}}}$

• The length of pool = 36.8 m

• The breadth of pool = 20 m

• The volume of pool = 1472 m³

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• The deapth of pool.

$\sf{\huge{\underline{\green{Answer :-}}}}$

We know that the deapth of pool = height from top to bottom.

The volume of pool is 1472 m³ .

We know that the volume of pool = volume of cuboid.

We know that , the volume of cuboid = L × B × H

➝ 1472 m³ = L × B × H

➝ 1472 = 36.8 × 20 × H

➝ 1472 = 736 × H

➝ H = $\cancel{\dfrac{1472}{36}}$

➝ H = 2 m

The deapth of pool is 2m.

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