Question

Two cubes each of volume 64 CM cubes are joined end to end together find the surface area of resulting cuboid

Answer 1

$\large{\underline{\red{\rm{AnswEr:160\:cm^2}}}}$

$\huge\bold\purple{\underline{Solution:}}$

$\bold\orange{\underline{Given:}}$

Two cubes of each volume=64cm³

$\bold\green{\underline{Find:T.S.A\:of\: cubiod:}}$

At first we have to calculate each sides of volume

• using formula to calculate side

$\bold\red{\boxed{Volume=Side^3}}$

The side of 1st volume of cube=³√64=4cm

The side of 2nd volume of cube=³√64=4cm

Now,find the dimensions of cubiod

Length of cubiod=4+4=8cm

Breadth of cubiod=4cm

Height of cubiod=4

Than , using formula to find T.S.A of cubiod

$\bold\purple{\boxed{T.S.A=2(lh+bh+lb}}$

⟹T.S.A=2(8×4+4×4+8×4)

⟹T.S.A=2(32+16+32)

⟹T.S.A=2(32+48)

⟹T.S.A=2×80

⟹T.S.A=160cm²

Hence,

The T.S.A of cubiod is 160cm²