Question

Please Show your work.

Use the formula h=\frac{v}{lw}[To solve the formula for h, move lw to the other side

to find the height of the prism if the area is 120 cm³ with a length of 8 cm and width of 5 cm.


*HINT: Substitute 120 for V, 8 for l, and 5 for w into the formula you just found in the previous problem.

Answer 1

height = 3 cm

Explanation:

Make the required substitutions and you have ...

`h=(v)/(lw)\\\\h=\frac{120\,\text{cm}^3}{(8\,\text{cm})(5\,\text{cm})}=(120)/(40)\,\frac{\text{cm}^3}{\text{cm}^2}=3\,\text{cm}`

This finds the height of a prism with volume 120 cm³ and the other dimensions given. It is 3 cm.