Answer:
[tex]2\frac{2}{3}[/tex] cubic blocks
Step-by-step explanation:
The given parameters are:
[tex]Length = \frac{1}{2}yd[/tex]
[tex]Width = 16yd[/tex]
[tex]Height =\frac{1}{3}yd[/tex]
Required
Number of cubic blocks to fill the tank
To do this, we simply calculate the volume of the tank by:
[tex]Volume = Length * Width * Height[/tex]
This gives:
[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]
[tex]Volume = \frac{16}{6}[/tex]
Simplify
[tex]Volume = \frac{8}{3}[/tex]
Express as mixed numbers
[tex]Volume = 2\frac{2}{3}yd^3[/tex]