CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 11. Surface Area and Volume


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CK-12 Foundation: Chapter11CompositeSolidsB


Vocabulary


Acomposite solidis a solid that is composed, or made up of, two or more solids.Surface areais a two-dimensional
measurement that is the total area of all surfaces that bound a solid.Volumeis a three-dimensional measurement
that is a measure of how much three-dimensional space a solid occupies.


Guided Practice



  1. Find the volume of the composite solid. All bases are squares.

  2. Find the volume of the base prism. Round your answer to the nearest hundredth.

  3. Using your work from #2, find the volume of the pyramid and then of the entire solid.


Answers:



  1. This is a square prism with a square pyramid on top. Find the volume of each separeatly and then add them
    together to find the total volume. First, we need to find the height of the pyramid portion. The slant height is 25
    and the edge is 48. Using have of the edge, we have a right triangle and we can use the Pythagorean Theorem.
    h=



252 − 242 = 7

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