Question

A rectangular prism has a base of 18 cm by 15 cm and a diagonal of 25 cm. Identify its height. Round to the nearest tenth. HELP PLEASE! I don't understand this question!!

Answer 1

Answer:

8.7 cm

Step-by-step explanation:

You know the relationship between the diagonal of a rectangular prism and the sides as $d^2 = x^2 + y^2 + z^2$ where x, y and z are the three dimensions of the prism. from your data, $25^2 =18^2 + 15^2 + z^2$ or $z^2 = 25^2 -18^2 - 15^2$. With some simple calculation you get$z^2 = 625 - 324 - 225 = 76$, or $z= 8.7178....$