Dominic has a block of clay that is 24.5 inches long, 12.5 inches wide, and 8 inches tall. Dominic will use the clay to make vases. If each vase requires 50 in3 of clay, what is the greatest number of vases Dominic can make?

Respuesta :

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