The volume of a rectangular pyramid is 900 cubic centimeters. It has a length of 10 centimeters and a width of 9 centimeters. What is its height

The height of a rectangular pyramid is 30 cm.

volume of rectangular pyramid = (length x width x height) / 3

Given:

Volume = 900 cm³

Length = 10 cm

Width = 9 cm

Height = ?

V = lwh/3

900 cm³ = (10cm * 9cm * h) / 3

900 cm³ * 3 = (90cm² * h) / 3 * 3

2700 cm³ = 90cm² * h

2700 cm³/90cm² = 90cm² * h/90 cm²

30 cm = h

to check:

900 cm³ = (10 cm * 9 cm * 30 cm) / 3

900 cm³ = 2700 cm³/3

900 cm³ = 900 cm³