The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. What is the volume of the pyramid in cubic centimeters?

The volume of the square-based pyramid is

The volume of a pyramid is given by

where

The area of the square base, , is calculated as follows

substitute the value of , and () into the volume formula to calculate the pyramid's volume

Therefore, the volume of the pyramid is

Learn more about volume of pyramids here: link

volume = 13500

Step-by-step explanation:

For a given pyramid, its volume can be determined by:

volume of pyramid =

Where: l is the base length, w is the base width and h id the height of the pyramid.

For the given question, l 30 cm, w = 30 cm and h = 45 cm.

So that,

volume =

            =

            = 13500

volume = 13500

The volume of the pyramid is 13500 .

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

x-3y=4

step-by-step e