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Home > CCG > Chapter 11 > Lesson 11.1.4 > Problem 11-58


Find the volume and total surface area of each solid below. Show all work.  

  1. Triangular prism, labeled as follows: front rectangle, bottom edge, 25 inches, front rectangle, right edge, 12 inches, top triangle, left edge, 7 inches, bottom triangle, back angle, 90 degrees.

    Use the Pythagorean Theorem to find the unknown side of the triangle.

    Find the area of the top.

    Multiply the area of the top by the height to find the volume.

    Find the area of each of the sides and sum them.

  1. Cone, with dashed line, labeled 12 m, from vertex, perpendicular to center of circle base, Line segment, across circle base, labeled 10 meters.

    The volume of a cone is 

    Find the area of the base.
    Then find the lateral surface areas and add them together.