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

Answer:

$h = \frac{3V}{s^2}$

height (h) = 5 cm

Step-by-step explanation:

Volume of prism in terms of h (height):

$V = \frac{1}{3}s^2h$

$V = \frac{s^2h}{3}$

Multiply both sides by 3

$V*3 = \frac{s^2h}{3}*3$

$3V = s^2h$

Divide both sides by s^2

$\frac{3V}{s^2} = \frac{s^2h}{s^2}$

$\frac{3V}{s^2} = h$

$h = \frac{3V}{s^2}$

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

$h = \frac{3(60)}{6^2}$

$h = \frac{180}{36}$

$h = 5$

Height = 5 cm