A reservoir is shaped like a square prism. If the area of its base is $225 s q . c m$ , how many liters of water will it hold?

3.375

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3375

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33.75

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337.5

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Solution

The correct option is A $3.375$
Square prism has their faces as square.
Area of base is $225$
$⟹$ Area of square $= a^{2} = 225$
$∴ a = 15$
$∴$ Height $= 15$
Volume of prism $= B a s e a r e a \times h e i g h t$
$= 225 \times 15 = 3375 c . c$
We know that $1 c . c = 10^{- 3} l i t r e s$
$∴$ Volume $= 3.375 l i t r e s$
Hence, option A is correct.

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A reservoir is shaped like a square prism. If the area of its base is 225 sq. cm, how many liters of water will it hold?

The correct option is A 3.375Square prism has their faces as square.Area of base is 225⟹ Area of square =a2=225∴a=15∴ Height =15Volume of prism =Base area×height =225×15=3375 c.cWe know that 1c.c=10−3 litres∴ Volume =3.375 litresHence, option A is correct.

A reservoir is shaped like a square prism. If the area of its base is $225 s q . c m$ , how many liters of water will it hold?