Maria needs to fill an empty storage container with wooden cubes measuring 2 centimeters across each face. The container is in the shape of a cube 10 centimeters wide.
How many wooden cubes does Maria need to fill the container?

Respuesta :

It's 125, because you can fit 5 cubes across, 5 cubes from one side to the other side, and you can stack 5 cubes up

[tex]5 x 5 x 5 =125[/tex]

Hope you get this right! Have a great day, and happy Valentines day!

Answer:

Maria needs 125 wooden cubes to fill the container

Step-by-step explanation:

Given : Dimension of wooden cube : 2 cm

          Container which is cube shaped is 10 cm wide.

To Find: How many wooden cubes does Maria need to fill the container?

Solution:

Volume of cube [tex]x^{3}[/tex]

Where x is the side length.

So, volume of wooden cube =  [tex]2^{3}[/tex]

                                               =  [tex]8[/tex]

Thus the volume of wooden cube is 8 [tex]cm^3[/tex]

Volume of cube shaped container =  [tex]10^{3}[/tex]

                                                        ==  [tex]1000 cm^3[/tex]

So, maria needs wooden cubes to fill the container :

=[tex]\frac{\text{Volume of container}}{\text{Volume of wooden cube}}[/tex]

=[tex]\frac{1000}{8}[/tex]

=[tex]125[/tex]

Hence Maria needs 125 wooden cubes to fill the container