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January 30, 2015

Posted by **Helen** on Sunday, January 23, 2011 at 5:36am.

- MATH! PLEASE REPLY ASAP! -
**MathMate**, Sunday, January 23, 2011 at 8:21amSurface area:

The points A and B are the mid-points of WX and XY respectively.

For triangle VWX, the surface area is half the base(66) multiplied by the slant height VA of 56.

For triangle VXY, the surface area is half the base(32) times the slant height of 63.

Add and double the two areas to get the total slant areas, add to the area of the base, a rectangle 66x32, to get the total surface area.

Height of Pyramid:

Drop a perpendicular from V to the centre of the base at point D. Then VAD and VBD are right triangles.

VA=56, AD=XY/2=16, VD=√2880 by Pythagoras theorem.

Similarly,

VB=63, BD=WX/2=33, and again, VD=√(63²-33²)=√2880.

Therefore height of pyramid=√2880.

Volume:

Volume of a pyramid is the area of the base multiplied by (1/3) of the height.

- MATH! PLEASE REPLY ASAP! -
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