b. Using the same straw, how much liquid can it hold? 2.16 in^3http://www.flickr.com/photos/cedsarlette/3002603565/
Pyramids
Pacing:This lesson should take one to two class periods
Goal:This lesson introduces students to the surface area and volume formulas of cylinders.
Lab Investigation! Before you read through the volume of a pyramid section, have your class complete this lab!This
is a great way to demonstrate the relationship between the volume of a prism and the volume of a pyramid.
Fill a gallon jug with water colored with food coloring. Separate students into groups of three or four. Each group
should receive a prism and its matching pyramid. The bases and heights must be identical for this to work!
Instruct one student to measure the necessary values of the 3−dimensional figures (altitude and lengths of base)
while another student records the information. A third student will fill thepyramidal figurewith colored water and
pour it into the prism. The goal is to determine how many times it will take to fill the prism.The answer should be
approximately 3.
Encourage students to write a hypothesis regarding the relationship between these two volumes. Students should
state that 3 ∗pyramid=prism.
Additional Examples:
a. Draw a net for a right pentagonal pyramid.Cones
Pacing:This lesson should take one to two class periods
Goal:This lesson introduces students to the surface area and volume formulas of cones.
Additional Examples:
- Draw the net for a right cone with diameter 3 cm and height 5 cm.
- How much material is needed to make the waffle cone shown below with dimensions 12[U+0080][U+009D]tall
with 5[U+0080][U+009D]diameter? 96.29 in^2
1.11. Surface Area and Volume