Question

How many cubes with side lengths of \dfrac13\text{ cm} 3 1 ​ cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text does it take to fill the prism? \dfrac{4}{3}\text{ cm} 3 4 ​ cm\dfrac{5}{3}\text{ cm} 3 5 ​ cm2\text{ cm}2 cm

Answer 1

Answer:

120

Step-by-step explanation:

Answer 2

Answer:

81 cubes are needed to fill the given prism

Step-by-step explanation:

Given that cubes with side lengths of $\frac{1}{3}$ cm

To find how many cubes needed to fill the prism of volume 3 cubic units:

Given, Volume of prism = 3 cubic units

The formula for the volume of the cube is

$V=a^3$ ( ∵ side length=a)

$V =\frac{1}{3}\times \frac{1}{3}\times \fra{1}{3}$

$V=\frac{1}{27}$ cubic units

∴ V= 0.0370 cubic units

To find the number of cubes needed to fill the prism, That is to divide the volume of cube by volume of the prism.

$\frac{Volume of prism}{Volume of cube}$

$=\frac{3}{0.0370}$

=81.081

= 81

∴ 81 cubes are needed to fill the given prism