Question

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?

Answer 1

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 $x^{3}$

Where x is the side length.

So, volume of wooden cube =  $2^{3}$

                                               =  $8$

Thus the volume of wooden cube is 8 $cm^3$

Volume of cube shaped container =  $10^{3}$

                                                        ==  $1000 cm^3$

So, maria needs wooden cubes to fill the container :

=$\frac{\text{Volume of container}}{\text{Volume of wooden cube}}$

=$\frac{1000}{8}$

=$125$

Hence Maria needs 125 wooden cubes to fill the container

Answer 2

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

$5 x 5 x 5 =125$

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