Square Pyramid: Underlying Anatomy

Interact with this [b][color=#38761d]square pyramid[/color][/b] for a minute or two. [br][br]You can alter the base and height of this [color=#38761d][b]square pyramid[/b][/color] by dragging the 2 white points. [br][br]How would you describe the relationship between a square pyramid's [b]LATERAL HEIGHT[/b] and its [b]TRUE HEIGHT? [br][br][color=#1e84cc]To explore this resource in Augmented Reality, see the directions below the applet. [/color][/b]
Suppose each edge of the square base measures 10 cm. If this square pyramid's lateral height measures 13 cm, what would its true height be? [br][br]What would the pyramid's [b]lateral area[/b] be? What would its [b]total surface area[/b] be? [br][br]What would its [b]volume[/b] be?
TO EXPLORE IN AUGMENTED REALITY:
1) Open GeoGebra 3D app on your device. [br][br]2) Press the 3 horizontal bars (upper left corner). Select OPEN. [br][br]3) In the SEARCH TAB that appears, type [b]V9cAn76T[/b][br] Note this string of characters can be found in the URL here. [br] Be sure to either copy & paste this code or type it just the way you see it here. [br][br]4) The slider named [b]n [/b]does the entire animation. Slide this completely to the right. [br] When in 3D view, you can move the white point (outside the pyramid) up or down to change its height. [br] You can also drag the large white points on the pyramid's base to adjust the base size.
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Information: Square Pyramid: Underlying Anatomy