Volumes Practice Test 1

Question : 2 of 40

Marks: +1, -0

If three cubes of copper, each with an edge of 6 cm, 8 cm and 10 cm respectively, are melted to form a single cube, then find the diagonal of the new cube.

18.8 cm
20.8 cm
22.8 cm
24.8 cm

Validate

Solution:

Here, side of the new cube =

(6^3 + 8^3 + 103)^{1/3}

(1728)^{1/3}

= 12 cm
Hence, the diagonal of the new cube = 12

√3

= 12 × 1.73 = 20.8 cm

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