Question

three solid metal of a cube whose age are 3 cm 4 cm and 5 cm are melted to form a single cube find the surface area and volume of the cube formed

Answer 1

Total volume of 3 cubes = (33 + 43 + 53 ) cm3

                                
   = > (27 + 64 + 125)cm3

                                  
= > 216 cm3


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Volume of new cube = 216 cm3

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therefore,

edge of new cube = cube root of 216 cm3

                               = 6 cm

Answer 2

hiii!!!

here's ur answer...

given the sides of the cube are 3cm, 4cm and 5cm.

volume of cube ( edge = 3cm ) = side³

= 3 × 3 × 3

= 27cm³

volume of cube ( edge = 4cm ) = side³

= 4 × 4 × 4

= 64cm³

volume of cube ( edge = 5cm ) = side³.

= 5 × 5 × 5

= 125cm³

ATQ,

all the three cubes are melted to form a new cube, therefore total volume of the new cube = 27 + 64 + 125 = 216cm³

therefore side³ = 216cm³

==> side = ³√216

==> side = 6cm

VERIFICATION:-

volume of the new cube = side³

= 6 × 6 × 6

= 216cm³

hence verified

thus the side of the new cube is 6cm.

now,

TSA ( surface area ) of the cube = 6 × side²

= 6 × ( 6 )²

= 6 × 36

= 216cm²

hope this helps u...!!