Volume and Surface Area

1
Volume and Surface Area
2
Objectives

• Calculate the volume of given geometric figures.
• Calculate the surface area of given geometric
  figures.
• Solve word problems involving volume and surface
  area.

3
Vocabulary

• volume
• surface area
• sphere
• pyramid

4
Rectangular Solid Formulas
Volume
Surface Area
5
Cylindrical Solid Formulas
Volume
Surface Area
6
Sphere Formulas
Volume
Surface Area
7
Cone and Pyramid Formulas
Volume
8
Find the volume and surface area of the figure
below
9
Find the volume and surface area of the figure
below
10
Find the volume and surface area of the figure
below
11
Find the volume of the figure below
12
Find the volume of the figure below
12
6
13
Find the volume of the figure below
14
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.
15
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.
16
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?
17
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.