# A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #8 #, its base has sides of length #6 #, and its base has a corner with an angle of #(3 pi)/4 #. What is the pyramid's surface area?

Surface area of pyramid with rhombus base = 127.9839

Opposite base angles of the rhombus are

Similarly,

Area of Rhombus base

Height of one side surface

As

Area of 4 sides of pyramid

Surface area of pyramid = base area + 4 side areas

#=25.4559+102.588=127.9839

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The surface area of the pyramid is 96 square units.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Cups A and B are cone shaped and have heights of #33 cm# and #37 cm# and openings with radii of #10 cm# and #13 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
- A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #3 # and #9 # and the pyramid's height is #3 #. If one of the base's corners has an angle of #pi/4#, what is the pyramid's surface area?
- What is the volume of a cube that measures 8cm on one side?
- The base of a triangular pyramid is a triangle with corners at #(3 ,8 )#, #(4 ,1 )#, and #(9 ,8 )#. If the pyramid has a height of #4 #, what is the pyramid's volume?
- What is the volume of a rectangular prism with a length of #8 1/2# cm, width of #9 1/3# cm and a height of #12 2/5# cm?

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