Question

2 cubes each of volume 64 cm^3 are joined end to end. Find the surface area of the resulting cuboid?

Answer 1

Volume= a^3
63cm^3= a^3
So a=4
When 2 cubes are joined then
L=2×4=8
B=4
H=4
So T.S.A area =2(lb+bh+lh)
2(8×4+4×4+8×4)
2(32+16+32)
2(80)
160cm^2

Answer 2

Answer: 160cm².

Step by step explanation:

Given,

Volume of both cubes = 64cm³

Volume of one cube =a^3

⇒ 64 = a³

⇒ (4) = a³

⇒ a=4

We know that, when two cubes are joined they form cuboid:

Length of cuboid=4+4= 8cm

Breadth of cuboid= 4cm

Height of cuboid= 4cm

Surface area of cuboid = 2(lb+bh+lh)

2(8×4+4×4+4×8)

= 2(32+16+32)

= 2(80)

= 160cm²

Therefore, Surface area of Cuboid is 160 cm².