A solid metallic cuboid of dimensions (9m × 8m × 2m) is melted and r

1.	A solid metallic cuboid of dimensions (9m × 8m × 2m) is melted and recast into solid cubes of edge 2m. Find the number of cubes so formed.
Answer» The dimensions of cuboid are Length = 9m Breadth = 8m Height = 2m We know that Volume of cuboid = l × b × h By substituting the values Volume of cuboid = 9 × 8 × 2 So we get Volume of cuboid = 144 m³ We know that Volume of each cube of edge 2m = a³ So we get Volume of each cube of edge 2m = 2³ = 8 m³ So the number of cubes formed = volume of cuboid / volume of each cube By substituting the values Number of cubes formed = 144/8 = 18 Therefore, the number of cubes formed is 18.

A solid metallic cuboid of dimensions (9m × 8m × 2m) is melted and recast into solid cubes of edge 2m. Find the number of cubes so formed.

Answer»

The dimensions of cuboid are

Length = 9m

Breadth = 8m

Height = 2m

We know that

Volume of cuboid = l × b × h

By substituting the values

Volume of cuboid = 9 × 8 × 2

So we get

Volume of cuboid = 144 m³

We know that

Volume of each cube of edge 2m = a³

So we get

Volume of each cube of edge 2m = 2³ = 8 m³

So the number of cubes formed = volume of cuboid / volume of each cube

By substituting the values

Number of cubes formed = 144/8 = 18

Therefore, the number of cubes formed is 18.