Question

2 cubes each of volume 8 cm cube are joined end to end. Then what is the surface area of the resulting cuboid ?

Answer 1

hiii!!!

here's ur answer...

ATQ,

we have to find the TSA of the resulting cuboid after joining two cubes of volume 8cm³ each.

volume of the cube = 8cm³

therefore side³ = 8cm³

==> side = ³√8

==> side = 2

VERIFICATION :-

volume of the cube = side³

= 2 × 2 × 2

= 8cm³

hence verified

thus the side of the cube is 2cm.

if we join two cube of side 2cm, the length of the resulting cuboid will be = 2 + 2 = 4cm.

breadth of the cuboid = 2cm

height of the cuboid = 2cm

TSA of the resulting cuboid = 2 ( lb + bh + lh )

= 2 [ ( 4 × 2 ) + ( 2 × 2 ) + ( 4 × 2 ) ]

= 2 ( 8 + 4 + 8 )

= 2 × 20

= 40cm²

hope this helps..!!