Question

Two cubes each of volume 64 cm cube are joined end to end from one side find the total surface area of the resulting cuboid

Answer 1

volume of cube is 64 cm cube : so, its side is 4 cm: now when two such cube are joined together ,then the length of the resultent cuboid will be 8 cm . Now l : 8cm ,h:4cm ,b:4cm , then surface area of that cuboid will be 128 cm squar

e

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.