Question:
A closed metal box measures \( 30 \ \text{cm} \times 20 \ \text{cm} \times 10 \ \text{cm} \). Thickness of the metal is 1 cm. Find the volume of metal required to make the box.
A closed metal box measures \( 30 \ \text{cm} \times 20 \ \text{cm} \times 10 \ \text{cm} \). Thickness of the metal is 1 cm. Find the volume of metal required to make the box.
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For hollow solids, subtract the inner volume from the outer volume to find material used.
Updated On: Aug 11, 2025
- 1041 cm\(^3\)
- 6000 cm\(^3\)
- 4536 cm\(^3\)
- 1968 cm\(^3\)
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Outer volume = \( 30 \times 20 \times 10 = 6000 \ \text{cm}^3 \)
Inner dimensions = \( (30 - 2) \times (20 - 2) \times (10 - 2) = 28 \times 18 \times 8 = 4032 \ \text{cm}^3 \)
Metal volume = Outer volume – Inner volume
\[
= 6000 - 4032 = 1968 \ \text{cm}^3
\]
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