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Mathematics 23 Online
OpenStudy (jessiegonzales):

Medal!!! Find the volume and square pyramid shown. Round to the nearest whole number. A.11,760ft^3 B.17,052ft^3 C.5,600ft^3 D.11,774ft^3

OpenStudy (jessiegonzales):

OpenStudy (jhannybean):

|dw:1417252369759:dw|

OpenStudy (jhannybean):

First off, identify the formula, \[V = (\text{base})^2 \left(\frac{h}{3}\right)\] Our problem is in finding the height, this will take a few steps.

OpenStudy (jessiegonzales):

v=42^2(?/3)

OpenStudy (jessiegonzales):

v=1764(?/3)

OpenStudy (jhannybean):

Yes :) So far.

OpenStudy (jhannybean):

We know that the hypotenuse of the triangle is perpendicular to the base, therefore we can assume if splits that side of the square base in half.\[\frac{42}{2} = ~?\]

OpenStudy (jessiegonzales):

21

OpenStudy (jhannybean):

Alright, that means.|dw:1417252793151:dw| Do you understand so far?

OpenStudy (jessiegonzales):

yes

OpenStudy (jhannybean):

|dw:1417252919811:dw| We also know the triangle is a right triangle on the inside.

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