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? [/b]
How would you describe the relationship between a square pyramid's [b]LATERAL HEIGHT[/b] and its [b]TRUE HEIGHT? [/b]
The lateral height is the hypotenuse of the triangle where on leg is the true height.
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]
5^2 + x^2 = 13^2[br][br]Lateral area is 12 cm.[br][br]Area of Triangle = 1/2(10)(12)=60[br]Area of Base = 10^2 = 100[br][br]SA = 4(60)+100 = 340 sq. cm.