Question

Three solid metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted
together and formed into a single cube. Find the volume of new cube.
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Answer 1

Answer:

It's easy question and also very important.

Step-by-step explanation:

first find the volume of each single metal cube

volume of 1st cube = (6)^3 = 216cm^3

volume of 2nd cube = (8)^3 = 512cm^3

volume of 3rd cube = (10)^3 = 1000cm^3

let the side of the new cube be a

V1 + V2 + V3 = volume of new cube

216 + 512 + 1000 = (a)^3

1728 = (a)^3

12 = a

side of new cube = 12 cm and volume = 1728cm^3

hope it helps.

Answer 2

solution

volume of first cube=6^3

=216cm^3

volume of secont cube=8^3

=512cm^3

volume of third cube=10^3

=1000cm^3

now,total volume =216+512+1000

=1728cm^3

hence volume of new cube=tatal vole of small cubes

(volume remain same because only material is melted not reduced or increased)

so volume of new cube=1728cm^3

Hope it will help you

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