Question

three cubes whose edges are in the ratio 3 is to 4 is to 5 are melted to make a single cube whose diagonal measure 12 root 3 centimetres cm find the side of the three cubes

Answer 1

Answer:

Step-by-step explanation:

Diagonal = sqrt(3) * A

12 * sqrt(3) = sqrt(3) * A

A = 12 cm

Volume of Cube = Volume of Cube1 + Cube2 + Cube3

1728 = 27a^3 + 64a^3 + 125a^3

1728 = 216 a^3

a^3 = 8

a = 2

So the sides of the cubes are:

6cm, 8cm, and 10 cm respectively

Answer 2

Answer:

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Step-by-step explanation: