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Published byBernadette Lindsey Modified over 5 years ago

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Pyramids Surface Area and Volume

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Suppose we created a rectangular pyramid from a rectangular prism. Suppose we conducted an experience similar to yesterday’s lesson where we fill the rectangular prism with the contents of the rectangular prism.

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What do you think is the relationship between the volume of the prism and the volume of the pyramid?

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How are finding the volumes of the cones and rectangular prisms alike?

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Suppose the rectangular prism is a cube with side lengths of 4 inches. 4 inches Find the volume of the prism and the pyramid. Volume of the Rectangular Prism = 64 inches cubed. Volume of the Rectangular Pyramid = 21.33 inches cubed.

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The vertex of the pyramid is in the center of the top face in the rectangular prism. 4 inches How can we use the Pythagorean Theorem to find the height of the triangular face of the rectangular pyramid? Find this length.

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Find the surface area of the pyramid. 4 inches 4.47 inches Total Surface Area of the Pyramid = 51.76 inches squared. Surface Area of one Triangular Face = 8.94 inches squared. 4 Triangular Faces = 35.76 inches squared Surface Area of the Base = 16 inches squared.

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Practice Complete Question 16 and 17 on page 56.

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