Ineed !
the figure below is a square pyramid where the height of the pyramid is 2 centimeters and the volume is 24 cubic
centimeters. if the volume of a pyramid bh, then what is the length of the base?
h = 2 cm
v = 24 cm
2 centimeters
4 centimeters
8 centimeters
6 centimeters

We are Given:

Height of the Pyramid(h) = 2 cm

Volume of the Pyramid = 24 cm³

Base of the Pyramid:

We know that the Volume of a square-based Pyramid:

Volume = a²*(h/3)

24 = a² * (2/3)                 [Replacing the variables]

24 * 3/2 = a²                   [Multiplying both sides by 3/2]

a² = 36

a = 6                               [taking the square root of both sides]

Hence, the length of base of the Pyramid is 6 cm

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer