The Edges of Three Cubes of Metal Are 3 Cm 4 Cm, and 5 Cm They Are Melted and Formed into a Single Cube Find the Edge of the New Cube

The edges of three cubes of metal are 3 cm, 4 cm, and 5 cm. They are melted and formed into a single cube. Find the edge of the new cube.

Sum

Volume of melted single cube = 3³ + 4³ + 5³ cm³
= 27 + 64 + 125 cm³
= 216 cm³

Let a be the edge of the new cube.
Volume = 216 cm³
a³ = 216
a³= 6³
a = 6 cm
Therefore, 6 cm is the edge of cube.

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Chapter 21: Solids [Surface Area and Volume of 3-D Solids] - Exercise 21 (A) [Page 269]

Chapter 21 Solids [Surface Area and Volume of 3-D Solids]
Exercise 21 (A) | Q 5 | Page 269

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