Question

2 cubes each of volume 64cm are joined end to end .find the surface area of the resulting cuboid

Answer 1

We know that volume of the cube = a^3.

                               Given, a^3 = 64cm

                                           a^3 = 4^3

                                            a = 4cm.

Length will be 4+4 = 8cm and breadth = 4cm and height = 4cm.

Surface area of the resulting cuboid = 2(lb+bh+hl)

                                                            = 2(32+16+32)

                                                            = 2(80)

                                                            = 160 cm^2.

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

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.