Question

a metallic cuboid with demensions 64 cm × 8 cm × 8 cm was melted and recast into a cube.what is the length of the edge of a cube?​

Answer 1

Answer:

vol of cuboid=64×8×8=vol of cube=a^3

=2^12

a=2^4=16=edge of cube plz ark as brainliest

Answer 2

Answer:

Dimensions of a metallic cuboid :

Length (l)=100cm,

Breadth (b)=80cm,

Height (h)=64cm,

Let the edge of a cube = a cm

According to the problem given,

If metallic cuboid melted and recast into a cube.

Volume of a cube = volume of the cuboid

=> a³ = 100cm × 80cm ×64cm

=> a³ = 10×10×10×8×8×8 cm³

let's find the volume of the cuboid

So volume of the cuboid= L×b×h= 100×80×64=512000

So....since it's recast into a cube, the cube also will have the same volume

So... formula of volume of cube=a³=512000

So a=80

So area of one side of the cube=a²=6400

So...since a cube has 6 faces,

total surface area of the cube=6×6400

=38400sq.units

Step-by-step explanation:

,Hope this helps you to gain Knowledge in Cube Mathematics