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

Question

3 years ago

7

if it's volume is 82.8cm^3

1 answer:

den301095 [7] · Answer 1 · 2022-02-20T05:24:50+03:00

Answer:

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