Given:
Volume of the prism = 60 in³
Breadth = 2.5 in
Height = 4 in.
To find:
The length of the prism.
Solution:
We know that, volume of a prism is
![V=l* b* h](https://img.qammunity.org/2021/formulas/physics/college/ocyw8u5lwxlyszjwkcyg56iaucyxjs14q4.png)
where, l is length, b is breadth and h is height.
Putting V=60, b=2.5 and h=4, we get
![60=l* 2.5* 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/cru6v6vbpz08ki94kngxg9kg3fhjgzj6w4.png)
![60=l* 10](https://img.qammunity.org/2021/formulas/mathematics/high-school/igm9lv7bg83snscj8ut5u610clwkbi6inr.png)
Divide both sides by 10.
![(60)/(10)=l](https://img.qammunity.org/2021/formulas/mathematics/high-school/7a6xwvr2u1ar5lv33oel45jdov7l8tkj81.png)
![6=l](https://img.qammunity.org/2021/formulas/mathematics/high-school/a22btqedkcvo0jg1d9zhx6qarcgh3r2iy3.png)
Therefore, the missing dimension of the prism is 6 in.