Question

A rectangular prism with a volume of 10 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?

Answer 1

Answer:

80 cubes are needed to fill the rectangular prism completely

Step-by-step explanation:

Volume of the rectangular prism is given to be : 10 cubic units

Now, The prism is filled up with the smaller cubes

Side Length of each smaller cube = 0.5 units

Volume of each cube = (side)³

                                     = (0.5)³

                                     = 0.125 cubic units

$\text{No. of cubes needed to fill the rectangular prism = }\frac{\text{Volume of prism}}{\text{Volume of each cube}}\\\\ \implies\text{No. of cubes needed to fill the rectangular prism = }\frac{10}{0.125}=80$

Therefore, 80 cubes are needed to fill the rectangular prism completely

Answer 2

There are 80 cubes required for 1/2 unit cubes does it take to fill the prism,

What is the rectangular prism?

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces).

The volume of the rectangular prism is 10 cubic units.

The prism is filled up with smaller cubes.

Side Length of each smaller cube = 1/2 unit.

The volume of each cube is given by;

$\rm Volume \ of \ each \ cube = (side)^3\\\\Volume \ of \ each \ cube = (1/2)^3\\\\Volume \ of \ each \ cube =1/8$

The number of cubes required for  1/2 unit cubes does it take to fill the prism is;

$\rm = \dfrac{Volume \ of \ prism}{Volume \ of \ cube}\\\\=\dfrac{10}{1/8}\\\\= 10 \times 8\\\\=80$

Hence, there are 80 cubes required for 1/2 unit cubes does it take to fill the prism,

To learn more about cubes click the link given below.

brainly.com/question/15815689

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