Volume: the amount of space inside a 3-dimensional shape measured in cubic units

What is a cubic cm?

A 3-D unit that measures 1 cm on all sides

Volume of PrismsThinking Skill: Gather and organize information and data

I. Volume of a Rectangular Prism

Formula: V = Bh Volume = (area of rectangle) x (height)

Examples: Find the volume of the following rectangular prisms. Calculator permitted. Show all steps.

1.)

2.) Word Problem: A wooden toy chest is on sale at Kids 'R Us with dimensions 28 in by 26 in by 48 in. Calculate the amount of space inside the toy chest.

II. Volume of a Triangular Prism

Formula: V = Bh

Volume = (area of triangle) x (height)

Examples: Find the volume of the following triangular prisms. Calculator permitted. Show all steps.

1.)

30 cm

2.)

Formula: V = Bh Volume = area of circle( r2 height

To find the volume of a cylinder, use the same formula for a prism.

1.)

Find the volume of each cylinder.

2.)

2.) Find the height of a triangular prism with a given volume of 400 cm3 and the area of its base equals 32 cm2. Use an equation to solve.

Write and solve an equation to find the unknown dimension

3.) What is the radius of a cylinder with a volume of 2512 cm3 and a height of 8 cm?

1.)

Find the volume of the solid

Demonstrate Understanding: Find the volume of the following prisms. Calculator permitted. Show all steps.

1.) cube

7.5 m

2.)

3.) How much sand is needed to fill a cylinder container that has a radius of 10 cm and is 25 cm high?