A large storage box in the shape of a right prism with square base is 2 m tall.
A large storage box in the shape of a right prism with square base is 2 m tall. If the box holds 500 L of water, what is the side of the base (in cm)?
एक वर्गाकार आधार वाले समकोण प्रिज्म के आकार के एक बड़े भंडारण बॉक्स की ऊँचाई 2 मीटर है। यदि बॉक्स में 500 लीटर पानी आ सकता है, तो आधार की भुजा (सेमी में) क्या है?
Detailed Solution & Logic
50 cm / 50 सेमी
Volume of the box
$= 500 \text{ L} = 0.5 \text{ m}^3$
Let the side of the square base be $s$ m.
Volume of prism
$= s^2 \times 2 = 0.5$
$s^2 = 0.25$
$s = 0.5 \text{ m} = 50 \text{ cm}$
Answer: (D) 50 cm / 50 सेमी
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