Question

two cubes of side 4cm are fixed together find the total surface area of the new solid formed

Answer 1

Solution :-

When the two cubes are fixed together, the resulting solid is a cuboid.

Length of the cuboid, = 2 × edge of the cube = 2*4 = 8 cm

Breadth of the cube = 1 × edge of the cube = 4 cm

Height of the cube = 1 × edge of the cube = 4 cm

Total surface area of the cuboid = 2*(LB + BL + LH)

⇒ 2*(8*4 + 4*4 + 4*8)

⇒ 2*(32 + 16 + 32)

⇒ 2*80

⇒ 160 sq cm

So, the total surface area of the cuboid is 160 sq cm

Answer.

Answer 2

$\bf{Given}$ : Two cubes of 4 cm are fixed together.

So, the new solid formed is cuboid

length of the cuboid = 4 + 4 = 8cm

breadth of the cuboid = 4 cm

height of the cuboid = 4 cm

$\mathbb{\underline {TO\: \: BE \: \: FOUND}}$,
Total surface area of cuboid = 2(lb+bh+lh) unit²

= 2( 8×4 + 4×4 + 8×4 ) cm²

= 2 ( 32 + 16 + 32 ) cm²

= 2 × 80 cm²

= 160 cm²

Hence, the total surface area of the new solid formed (cuboid) is 160 cm².