Answer:
a.) [tex]40cm^3[/tex]
b.) 5 blocks
Explanation:
Let's find the volume of the metal block:
[tex]V=lwh[/tex]
[tex]V=(10cm)(2cm)(2cm)[/tex]
[tex]V=40cm^3[/tex]
Now, let's find the volume of the smaller blocks:
[tex]V=lwh[/tex]
[tex]V=(2cm)(2cm)(2cm)[/tex]
[tex]V=8cm^3[/tex]
So, one small block has a volume of 8cm. If the volume of the larger block is 40cm, we can fit a total of 5 smaller blocks into the larger block, meaning it will make up the same volume.
[tex]\frac{40}{8} = 5[/tex]
