Answer: 49
Step-by-step explanation:
Given
The dimension of the block is [tex]24.5\ in.\times12.5\ in.\times 8\ in.[/tex]
Each vase requires [tex]50\ in.^3[/tex] of clay
The volume of clay block is
[tex]\Rightarrow V=24.5\times 12.5\times 8\\\Rightarrow V=2450\ in.^3[/tex]
Number of vases that can be made
[tex]\Rightarrow n=\dfrac{2450}{50}\\\\\Rightarrow n=49\ \text{Vases}[/tex]
Thus, 49 vases can be made