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PLZ ANSWER 75 POINTS FAST!!!!!!!!!!!!!!!!

PLZ ANSWER 75 POINTS FAST!!!!!!!!!!!!!!!!-example-1
User BurnsBA
by
8.2k points

2 Answers

2 votes

Answer:

6 inches

Explanation:

The volume of a triangular pyramid can be found using

v=1/3bh

where b is the area of the base, and h is the height

We know the volume is 12, so let's find the area of the base

The area of a triangle can be found using:

a=bh/2

We know the base is 4, and the the height is 3, so we can substitute them in

a=4*3/2

a=12/2

a=6

Now, we can solve for the height

v=1/3bh

Substitute 12 in for v, and 6 in for b

12=1/3(6h)

Multiply both sides by 3

3*12=1/3(6h)*3

36=6h

Divide both sides by 6

h=6

The height is 6 inches

User Grad Van Horck
by
8.5k points
5 votes

First, find the area of the base of the pyramid.

A = (4)(3)/2

A = 12/2

A = 6in²

Second, solve for h in the volume formula [ V = 1/3bh ]

12 = 1/3(6)(h)

12 = 2h

12/2 = 2h/2

6 = h

Therefore, the answer is 6 inches.

Best of Luck!

User Uniquenamehere
by
8.5k points

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