Question

Which graph correctly compares the volumes, V, of rectangular pyramids with different heights, h, when their bases all have the dimensions of 4 feet by 6 feet? (Recall that the volume of a rectangular pyramid can be found using the formula, V= 1/3 Bh,where V is the volume, B is the area of the base, and h is the height.)
A: http://media.education2020.com/evresources/3107-13-06/mc010-2.jpg
B: http://media.education2020.com/evresources/3107-13-06/mc010-3.jpg
C: http://media.education2020.com/evresources/3107-13-06/mc010-4.jpg
D: http://media.education2020.com/evresources/3107-13-06/mc010-5.j

Answer 1

@jeremyggg

Answer 2

ok so, the base is going to be 4*6 which is 24
v=1/3(24)h
1/3 of 24 is 8 so
v = 8h
lets do easy numbers, if the height is 2 what is the volume?

Answer 3

2

Answer 4

V= 1/3(24)(2)

Answer 5

15.984 and the 9 goes on forever

Answer 6

or even try 1 as the height!
V=1/3(base)(height)
if the base = 4*6
V=1/3(24)(h)
if you take 1/3 of 24
V=(8)(h)
now lets plug in a simple number for h! like 1.
V=(8)(1)

Answer 7

8

Answer 8

x axis is the height
y axis is the volume! do you see a graph where the height we chose(x) of 1
has a y value of 8?

Answer 9

So its A

Answer 10

you got it! your main goal is to set up a simple equation and choose a really easy number to work with

Answer 11

thanks for the help once again :)