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A metallic rectangular cuboid of dimensions 4cm * 6cm * 8cm is melted and more metal is added to make it a cube, the measure of whose side is an integer. What is the minimum volume of metal to be added and what is the side of the cube?
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Answered by
4
is it right i try only
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Siddharta7:
Thanks for trying..
so it is maximum volume added to that
u ask minimum
i learn something from it tq brainly
Answered by
11
hiii!!!
here's ur answer...
given the length, breadth and height of th cuboid is 4cm, 6cm and 8cm respectively.
volume of the cuboid = l × b × h
= 4 × 6 × 8
= 192cm³
now, we have to find the minimum volume of the metal to be added after melting the cuboid to make a cube.
cube root of 192 = 5.7689...
ATQ, the side if the cube is an integer. so we will take 6 as the side if the cube.
side if the cube = 6cm
volume of the cube = side³
= 6 × 6 × 6
= 216cm³
hence, minimum volume metal required = 216 - 192 = 24cm³
hope it won't help...!!!
here's ur answer...
given the length, breadth and height of th cuboid is 4cm, 6cm and 8cm respectively.
volume of the cuboid = l × b × h
= 4 × 6 × 8
= 192cm³
now, we have to find the minimum volume of the metal to be added after melting the cuboid to make a cube.
cube root of 192 = 5.7689...
ATQ, the side if the cube is an integer. so we will take 6 as the side if the cube.
side if the cube = 6cm
volume of the cube = side³
= 6 × 6 × 6
= 216cm³
hence, minimum volume metal required = 216 - 192 = 24cm³
hope it won't help...!!!
Sis, last step should be 216 - 192.
sorry.. mistaken ^^"
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