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The base of pyramid P is an isosceles right triangle whose leg is 3.

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The base of pyramid P is an isosceles right triangle whose leg is 3.  [#permalink]

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New post 19 Oct 2016, 09:21
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A
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E

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The base of pyramid P is an isosceles right triangle whose leg is 3. If the height of P is 4, what is the volume of P?

A. 36
B. 18
C. 12
D. 8
E. 6

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T6252.png
T6252.png [ 6.66 KiB | Viewed 2358 times ]

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The base of pyramid P is an isosceles right triangle whose leg is 3.  [#permalink]

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New post 19 Oct 2016, 10:04
Volume of pyramid = 1/3* volume of prism

=1/3*1/2*3*3*4

=6

E


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Re: The base of pyramid P is an isosceles right triangle whose leg is 3.  [#permalink]

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New post 19 Oct 2016, 10:47
Volume of a pyramid is given by

V=1/3Ah, where A is the area of the triangular base and h is the height of the pyramid.

Area of traingular base = 1/2 * 3*3 = 9/2

So, V = 1/3 * 9/2 *4 = 6

Option E


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Re: The base of pyramid P is an isosceles right triangle whose leg is 3.  [#permalink]

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New post 19 Oct 2016, 23:22
answer: E

Area of base: (1/2)*(3)*(3) = 9/2

Ht: 4 (given)

Area of Pyramid = (1/3)AH = (1/3)(9/2)(4) = 6 8-)
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Re: The base of pyramid P is an isosceles right triangle whose leg is 3.  [#permalink]

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New post 27 Jan 2018, 01:10
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Re: The base of pyramid P is an isosceles right triangle whose leg is 3. &nbs [#permalink] 27 Jan 2018, 01:10
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