The base of a triangular pyramid is a triangle with corners at $(4 ,8 )$ , $(6 ,7 )$ , and $(2 ,3 )$ . If the pyramid has a height of $15$ , what is the pyramid's volume?

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The base of a triangular pyramid is a triangle with corners at $(4 ,8 )$ , $(6 ,7 )$ , and $(2 ,3 )$ . If the pyramid has a height of $15$ , what is the pyramid's volume?

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Answer 1 · 2017-09-29T04:03:02

45

Explanation:

Area= $1/2*∣x_Ay_B+x_By_C+x_Cy_A−x_Ay_C−x_Cy_B−x_By_A∣$
$1/2*|4*7+6*3+2*8-4*3-2*7-6*3|$
$1/2*28+18+16-12-14-18$
$1/2*18$
base area = $9$
area of a pyramid = $(A_(base)*h)/3$
$9*15*1/3 = 45$

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The base of a triangular pyramid is a triangle with corners at $(4 ,8 )$ , $(6 ,7 )$ , and $(2 ,3 )$ . If the pyramid has a height of $15$ , what is the pyramid's volume?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

The base of a triangular pyramid is a triangle with corners at (4 ,8 )(4 ,8 ), (6 ,7 )(6 ,7 ), and (2 ,3 )(2 ,3 ). If the pyramid has a height of 15 15 , what is the pyramid's volume?

1 Answer

Explanation:

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The base of a triangular pyramid is a triangle with corners at $(4 ,8 )$ , $(6 ,7 )$ , and $(2 ,3 )$ . If the pyramid has a height of $15$ , what is the pyramid's volume?