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The Edges of Three Solid Cubes Are 6 Cm, 8 Cm and 10 Cm. These Cubes Are Melted and Recast into a Single Cube. Find the Edge of the Resulting Cube. - Mathematics

Sum

The edges of three solid cubes are 6 cm, 8 cm, and 10 cm. These cubes are melted and recast into a single cube. Find the edge of the resulting cube.

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Solution

Edge of first solid cube = 6 cm

Volume = (6)3 = 216 cm3

Edge of second cube = 8 cm

Volume = (8)3 = 512 cm3

Edge of third cube = 10 cm

Volume = (10)= 1000 cm3

Sum of volumes of three cubes = 216 + 512 + 1000= 1728 cm3

Let a be the edge of so formed cube volume = a3

a3 = 1728 = (12)3

a = 12 cm

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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 21 Surface Area, Volume and Capacity
Exercise 21 (C) | Q 1 | Page 241
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