Latest self Aptitude Question SOLUTION: A hollow rectangular metal box of outer dimensions 30cmx24cmx18cm and of thickness 3cm is melted to form a solid cube. What is the measure of side of the cube (in cm)? a) 36 √36

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(#M40001959) SELF question Mensuration Keep an EYE

A hollow rectangular metal box of outer dimensions 30cmx24cmx18cm and of thickness 3cm is melted to
form a solid cube. What is the measure of side of the cube (in cm)?
a) 36 √36 b) 6 c) 18 3√36 d) 6 3√36

Mohammad Danish Mumtaz (12 years ago)

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Dr.Dipin Singh  (12 years ago)

18.3 cms
by taking cube root of volume which is 3*2*(30*24+30*18+24*18) c.c.

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Maya Krishnamurthy  (12 years ago)

We can take 3cm as height for top and bottom faces.
Total volume for top and bottom face= 2(30*24*3) = 4320
Now, for the other two faces we reduce the length by 6cm (3+3) which is taken away by the top and bottom faces.
So it is 2(30*12*3)= 2160
The last two faces will have dimensions 18, 12 and 3.
So the two faces will amount to 2(18*12*3)= 1296
So the total volume will be= 7776

Cube root of 7776 will be 19.81cm which is the dimension of the solid cube.

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