Volume and
Surface Area
Objectives:
- Calculate the volume of given geometric figures.
- Calculate the surface area of given geometric figures.
- Solve word problems involving volume and surface area.
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Vocabulary:
- volume
- surface area
- sphere
- pyramid
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Formulas:
- Volume of a rectangular container:
- Volume of a cylindrical container:
- Surface area of a rectangular container:
- Surface area of a cylindrical container:
- Volume of a sphere:
- Surface area of a sphere:
- Volume of a cone or pyramid:
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Possible
Classroom Examples:
- Find the volume and surface area of the figures below:
- Find the volume of the figures below:
- From an 8.5-inch by 11-inch piece of cardboard, 1.5-inch square
corners are cut out and the resulting flaps are folded up to form an
open box. Find the volume and surface area of the box.
- A propane gas tank consists of a cylinder with a hemisphere at
each end. Find the volume of the tank if the overall length is 10 feet
and the diameter of the cylinder is 4 feet.
- A regulation baseball (hardball) has a circumference of 9 inches;
a regulation softball has a circumference of 12 inches.
- Find and compare the volumes of the two types of balls.
- Find and compare the surface areas of the two types of balls.
- Ron Thiele bought an older house and wants to put in a new
concrete driveway. The driveway will be 36 feet long, 9 feet wide, and
6 inches thick. Concrete (a mixture of sand, gravel, and cement) is
measured by the cubic yard. One sack of dry cement mix costs $7.30, and
it takes four sacks to mix up 1 cubic yard of concrete. How much will
it cost Ron to buy the cement?
© 2007 Elizabeth E. K. Jones and the
ASU
Department of
Mathematics and Statistics - All rights reserved.