Answer:
The volume of the sink is 2931.56 in².
Explanation:
The formula for volume of rectangular prism is
![V=l* w* h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xnsv4vbuc0hwx2rzbptiuzjmngsqr6m1kp.png)
Where, l is length, w is width and h height.
It is given that the length of the rectangular prism is
inches, width of the prism is
inches and height is 10 inches.
The volume of the sink is
![V=19(7)/(8)* 14(3)/(4)* 10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5fibhewtycd2tpzlb34r5xvwy438ix9dnx.png)
![V=(159)/(8)* (59)/(4)* 10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/snqinbpr3g8pfnlzuvtocwv13tn0ucot0m.png)
![V=(46905)/(16)=2931.5625\approx 2931.56](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bzgz55t4ennucx9b0iv6pr5td32qed3ih0.png)
Therefore the volume of the sink is 2931.56 in².