Question

3 cubes of metal with edges 3 sentimeter 4 cm 5 cm respectively are melted to form a single cube find the lateral surface area of the new cube formed

Answer 1

Answer:

There are 3 cubes of dimensions 3cm,4cm and 5cm

We know, vvolume of a substance always remain fix whenever it's shape changes.

so volume of first cube=

${3}^{3} = 27$

Volume of 2nd cube =

${4}^{3} = 64$

Volume of 3rd cube =

${5}^{3} = 125$

total volume = 27+64+ 125 = 216

now volume of new cube=216

${a}^{3} = 216$

so, a= 6

Total surface area=

${6} \times {6}^{2} = 6 \times 36 = 216$

Hence , total surface area =

$216 \: {cm}^{2}$