Question

How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 ​ cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? ​

Answer 1

Answer:

81 cubes are needed to fill the prism

Step-by-step explanation:

Volume of prism = 3 cubic units

Side lengths of cube = 1/3

Therefore the volume of the cube is,

V = a³   (a = side of the cube)

V = 1/3 × 1/3 × 1/3

= ( 1/3 )³  

= 1/27 cubic units

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

Number of cubes to fill the prism= Volume of prism / Volume of cube

= 3÷1/27

=3×27/1

= 81

Therefore, 81 cubes are needed to fill the prism.