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Three tubes of metals whose edges are 3cm, 4cm and 5cm respectively are melted to make a single cube. If there is no loss of metal in the process. Find the side of the new cube.

A) 6 cm.
B) 7 cm.
C) 8 cm.
D) 9 cm

Correct Answer:

A) 6 cm.

Description for Correct answer:
The volume of the cube side 3 cm = \( \Large 3^{3}=27\ cm^{3} \)

The volume of the cube side 4 cm = \( \Large 4^{3}=64\ cm^{3} \)

The volume of the cube side 5 cm = \( \Large 5^{3}=125\ cm^{3} \)

Volume of the new cube = \( \Large \left(27+64+125\right)\ cm^{3} \)

=\( \Large 216\ cm^{3} \)

Side of the new cube = \( \Large \left(216\right)^{\frac{1}{3}} = 6 \)

Part of solved Mensuration questions and answers : >> Aptitude >> Mensuration

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