Question

Two cubes each of volume 64 cubic cm are joined end to end. Find the surface area and volume of the resulting cuboid

Answer 1

Volume of small cube=64 cm^3
So,Edge of each cube=3√(64)=4cm
So,Edge of connected cubes=4×3=12cm
So,Volume of new cube=21^3=9261 cm^3
And,TSA=6a^2=6×12×12=864cm^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.