The base of a pyramid is a rectangle with a width of 4.6cm and a length of 9cm. What is the height, in centimeters of the pyramid if it's volume is 82.8cm^3

Step-by-step explanation:

The formula for determining the the volume of a rectangular base pyramid is expressed as

Volume = 1/3 * base area * height

From the information given,

Length of base = 9 cm

Width of base = 4.6 cm

Area of base = 9 * 4.6 = 41.4 cm²

Volume of pyramid = 82.8cm³

Therefore

82.8 = 1/3 * 41.4 * height

82.8 = 13.8 * height

Dividing both sides of the equation by 13.8, it becomes

height = 82/13.8

Height = 5.94 8 cm