Rectangular Prisms Overview
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Questions and Answers

What is a characteristic that distinguishes prisms from other three-dimensional shapes?

  • The cross-section of a prism changes as it is cut.
  • Prisms always have a triangular base.
  • Prisms are always circular in shape.
  • The cross-section of a prism is the same no matter where it is cut. (correct)

    • What is the name of a three-dimensional shape consisting of two identical triangles connected by rectangles?

  • Triangular cone
  • Triangular pyramid
  • Rectangular pyramid
  • Triangular prism (correct)

    • What is required to measure the volume of a rectangular prism?

  • Length, width, and height (correct)
  • Length and width
  • Length and height
  • Width and height

    • What is true about the faces of a rectangular prism when it is cut?

    <p>The faces are all identical.</p> Signup and view all the answers

    What is the difference between one-dimensional and two-dimensional objects?

    <p>One-dimensional objects have only length, while two-dimensional objects have area.</p> Signup and view all the answers

    What is volume?

    <p>The measure of the inside of a three-dimensional shape</p> Signup and view all the answers

    What is the formula for finding the volume of a rectangular prism?

    <p>V = L × W × H</p> Signup and view all the answers

    Why do mail services need to know the volume of a package?

    <p>To determine the shipping cost</p> Signup and view all the answers

    What are the three important measures of a rectangular prism?

    <p>Length, width, and height</p> Signup and view all the answers

    What is the unit of measure for the volume of a rectangular prism?

    <p>Cubed units</p> Signup and view all the answers

    Study Notes

    Rectangular Prisms

    • A rectangular prism is a three-dimensional shape with two identical, parallel, and regular rectangles connected by four rectangles.
    • The cross-section of a rectangular prism is the same regardless of where it is cut.

    Characteristics of Rectangular Prisms

    • Consist of two identical rectangles on either end, connected by four additional rectangles.
    • Volume is the measure of the inside of a rectangular prism.

    Formula for Volume of a Rectangular Prism

    • The formula is V = L × W × H, where V is the volume, L is the length, W is the width, and H is the height.
    • The formula yields a product with a cubed measure (e.g., inches cubed, in³).

    Measuring Volume

    • The three important measures of a rectangular prism are length, width, and height.
    • These measures are multiplied together to get a cubed volume for the prism.

    Applications of Rectangular Prisms

    • Volume is an important measure for understanding how much can fit inside a rectangular prism.
    • Examples of rectangular prisms include packing boxes, shipping containers, and mail services use volume to determine shipping fees.

    Examples of Finding Volume

    • Example One: Find the volume of a rectangular prism with fractions (L = 2, W = 4.5, H = 3.5) → V = 31.5 units cubed.
    • Example Two: Find the volume of a rectangular prism with mismatched units (L = 42 in, W = 38 in, H = 5 ft) → V = 95,760 in³.
    • Example Three: Find the width and volume of a rectangular prism with dependent measures (L = 5 in, W = 1/3 H, H = 6 in) → Width = 2 in, V = 60 in³.

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    Description

    Learn about the characteristics and naming conventions of rectangular prisms in geometry. Understand how prisms are formed by connecting two identical shapes with rectangles. Explore the unique properties of prisms in comparison to other three-dimensional shapes.

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