How many cubes with side lengths of / dfrac14/text{ cm}

4

1



cmstart fraction, 1, divided by, 4, end fraction, start text, space, c, m, end text does it take to fill the prism?

Step-by-step explanation:

Correct question

How many cubes with side lengths of ¼cm needed to fill the prism of volume 4 cubic units?

We know that,

Volume of a cube is s³

V = s³

Where 's' is length of side of a cube

Given that

The cube has a length of ¼cm, and a cube has equal length

s = ¼cm

Then, it's volume is

V = s³

V = (¼) ³ = ¼ * ¼ * ¼

V = 1 / 64 cubic unit

V = 0.015625 cubic unit

Then, given that the volume of the prism to be filled is 4 cubic unit

Then,

As, we have to find the number if cubes so we will divide volume of prism by volume of one cube

Then,

n = Volume of prism / Volume of cube

n = 4 / 0.015625

n = 256

So, then required cubes to filled the prism is 256 cubes.