Question

Write the formula for the volume of a square prism, V = s-h, in terms of h. Then find the height h of a square prism with volume V = 60 cm and side length s = 6 cm. Height: Cm​

Answer 1

`h = (3V)/(s^2)`

height (h) = 5 cm

Explanation:

Volume of prism in terms of h (height):

`V = (1)/(3)s^2h`

`V = (s^2h)/(3)`

Multiply both sides by 3

`V*3 = (s^2h)/(3)*3`

`3V = s^2h`

Divide both sides by s^2

`(3V)/(s^2) = (s^2h)/(s^2)`

`(3V)/(s^2) = h`

`h = (3V)/(s^2)`

Find height (h) given V = 60 cm³ and side length (s) = 6 cm. Plug the values into the formula above:

`h = (3(60))/(6^2)`

`h = (180)/(36)`

`h = 5`

Height = 5 cm