Question

2 cubes of sides 1 cm each , 4 cubes of sides 2 cm each , 1 cube of side 3 cm and 1 cube of side 4 cm is melted to form a new cube. Find the lateral surface area of the new cube .

Its urgent
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with solution ​

Answer 1

Answer:

x=5cm

Step-by-step explanation:

iven that, two cubes of side 1cm each, four cubes of side 2cm each and two cubes of side 3cm and 4cm are melted to form one cube.

Let, the side of required cube x.

Now, according to question,

Volume of required cube = Volume of [Two cubes of side 1cm each + Four cubes of side 2cm each + two cubes of side 3cm and 4cm].

⟹ x^ 3 =2(1)^  3  +4(2)^  3  +3^3  +4^3

⟹ x ^3

=2+32+27+64

⟹ x^3  =125

⟹ x=5cm.