Question

Two cubes of each volume 64 cm³ are joined wnd to end find the surface area of the resulting cuboid

Answer 1

Volume =64cm3

a3=64cm3

a=4 cm

For cuboid, Length =4+4=8 cm

Breadth =4 cm

Height =4cm

Surface area =2 (lb+bh+lh)

=2 (8×4+4×4+4×8)

=2 (32+16+32)

=2 (80)

=160 cm2

Answer 2

Answer: 160cm².

Step by step explanation:

Given,

Volume of both cubes = 64cm³

Volume of one cube =a³

⇒ 64 = a³

⇒ (4) = a³

⇒ a=4

To find: We have to find the Surface area of resulting cuboids.

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.