A square pyramid with a base edge of 40 and a volume of 8000. Can you find the height?

I really need help please!!!!!!! and my teacher is the kind that needs work to be shown!!! if its not to much trouble. PLEASE SHOW WORK. I'm failing this class and others-.-

Answer 1

#color(blue)(15 " units")#

The volume of a pyramid with a square base is:

#V=1/3"area of base"xx"height"#

Base area:

#40*40=1600#
#:.#
#1/3(1600)*h=8000#
#1/3h=8000/1600=5#
#h=3*5=15#

There are fifteen units of height.

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Answer 2

Yes, we can find the height of the square pyramid using the formula for the volume of a pyramid:

[ V = \frac{1}{3}Bh ]

Where:

  • ( V ) is the volume of the pyramid,
  • ( B ) is the area of the base (in this case, a square),
  • ( h ) is the height of the pyramid.

Since the base is a square with side length ( s = 40 ), the area of the base (( B )) is:

[ B = s^2 = 40^2 = 1600 ]

Now, we know the volume of the pyramid (( V )) is 8000. Plugging in the values into the formula, we have:

[ 8000 = \frac{1}{3}(1600)h ]

To solve for ( h ), we multiply both sides by ( 3 ) and then divide by ( 1600 ):

[ 8000 \cdot 3 = 1600h ] [ 24000 = 1600h ] [ h = \frac{24000}{1600} ] [ h = 15 ]

So, the height of the square pyramid is ( 15 ) units.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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