Answer:

10 cubes is the answer

Step-by-step explanation:

Given details are,

Dimensions of metal block = 2.25m × 1.5m × 27cm = 2.25m × 1.5m × 0.27m

Side of each cube formed = 45cm = 0.45 m

We know that,

Number of cubes can formed = volume of metal block / volume of one cube

= (2.25×1.5×0.27) /(0.45×0.45×0.45)

= 0.91125 / 0.091125

= 10 cubes

∴ 10 cubes are formed.

hope it will help you

Verified answer

Step-by-step explanation:

Solution:

As we know that,the volume of cubiod = l × b × h

And the volume of cube = (side)³

Here, the dimensions of a metal block are 2.25 m by 1.5 m by 0.27 m

•°•The volume of cubiod = l × b × h

=2.25m×1.5m×0.27m

= 0.91125 m³

Now, the volume of cube = (side)³

= (0.45m)³

= 0.091125 m³

So, No. of recast cubes = volume of cubiod/the volume of cube

= 0.91125 m³/0.091125 m³

= 10 cube

2). If the length of each edge of a cube is doubled then its volume become 8 times of initial volume and its surface area become 4 times of initial surface area.

For example, a cube of 1m side

Then, the volume of cube = (1m)³ = 1m³.

Now, when its side is doubled.

Then, the volume of cube = (2m)³ = 8m³.

Also, surface area of cube = 6a² = 6×(1m)² = 6m².

Now, when its side is doubled.

Then, surface area of cube = 6a² = 6×(2m)² = 24m².