Sunday, December 8, 2013

Please answer me Q#35 page#104 from the following link https://tstuition.wikispaces.com/file/view/3+-+Mensuration.pdf many many thanks

Think of this shape as two pyramids joined together.  Find
the area of one of the pyramids and multiply by 2.


Volume
of pyramid = area of base * height * 1/3


The base is a
square with sides of 10 cm.  The area of the base is 100 square
cm. 


Use the pythagorean theorem to find the
height.


a^2 + b^2 = c^2


a is
half the length of one of the sides, a = 5


c is the length
of one of the sides, c = 10


b is the height of the
pyramid.  solve for b


5^2 + b^2 =
10^2


25 + b^2 = 100


b^2 =
75


b = sqrt(75)


b = 5 *
sqrt(3)


Volume of the pyramid = area of base *
height


V = 100 * 5 * sqrt(3)


V
= 500 * sqrt(3)


This is the volume of one of the pyramids. 
Multiply this by 2.


1000 *
sqrt(3)


1732.05 cubic cm

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