Prentice Hall Geometry

See Problem 4.

  1. Composite Figures Use the diagram of the backpack below.

    A backpack with height 17 inches is composed of a rectangular prism with length 12 inches and width 4 inches, with half of a cylinder spanning the top, with diameter as the length of the rectangular prism.

    1. What two figures approximate the shape of the backpack?
    2. What is the volume of the backpack in terms of π?
    3. What is the volume of the backpack to the nearest cubic inch?

Find the volume of each composite space figure to the nearest whole number.

  1. A figure is composed of two rectangular prisms.
    Image Long Description
  2. A figure is composed of a rectangular prism with length 24 inches, width 10 inches, and height 12 inches, with half a right cylinder on its left side with diameter has the height of the prism.

B Apply

  1. Think About a Plan A full waterbed mattress is 7 ft by 4 ft by 1 ft. If water weighs

    62.4 . lbslashf . t cubed , comma  what is the weight of the water in the mattress to the nearest pound?

    • How can you determine the amount of water the mattress can hold?
    • The weight of the water is in pounds per cubic feet. How can you get an answer with a unit of pounds?
  2. Open-Ended Give the dimensions of two rectangular prisms that have volumes of 80 , cm cubed  each but also have different surface areas.

Find the height of each figure with the given volume.

  1. A cylinder has height h and radius 9 centimeters.

    v equals , 3240 . pi , cm cubed

  2. A rectangular prism has length 5 inches, width 5 inches, and height h.

    v equals . 125 , in , . cubed

  3. A prism has height h and right triangular bases with legs each 3 feet.

    v equals 27 , f , t cubed

  4. Sports A can of tennis balls has a diameter of 3 in. and a height of 8 in. Find the volume of the can to the nearest cubic inch.
  5. What is the volume of the oblique prism shown below?

    An oblique prism has height 6 feet and square bases with sides 4 feet.

  6. Environmental Engineering A scientist suggests keeping indoor air relatively clean as follows: For a room with a ceiling 8 ft high, provide two or three pots of flowers for every 100 f , t squared  of floor space. If your classroom has an 8-ft ceiling and measures 35 ft by 40 ft, how many pots of flowers should it have?
  7. Reasoning Suppose the dimensions of a prism are tripled. How does this affect its volume? Explain.

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Table of Contents

Prentice Hall Geometry Chapter 1 Tools of Geometry Chapter 2 Reasoning and Proof Chapter 3 Parallel and Perpendicular Lines Chapter 4 Congruent Triangles Chapter 5 Relationships Within Triangles Chapter 6 Polygons and Quadrilaterals Chapter 7 Similarity Chapter 8 Right Triangles and Trigonometry Chapter 9 Transformations Chapter 10 Area Chapter 11 Surface Area and Volume Chapter 12 Circles Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments