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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.

Vocabulary

- volume
- surface area
- sphere
- pyramid

Rectangular Solid Formulas

Volume

Surface Area

Cylindrical Solid Formulas

Volume

Surface Area

Sphere Formulas

Volume

Surface Area

Cone and Pyramid Formulas

Volume

Find the volume and surface area of the figure

below

Find the volume and surface area of the figure

below

Find the volume and surface area of the figure

below

Find the volume of the figure below

Find the volume of the figure below

12

6

Find the volume of the figure 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.

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?

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.

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