Warm Up

1
Warm Up
Problem of the Day
Lesson Presentation
2
6th HOMEWORK Answers

• Page 536
• 1-6

3
6th Grade Math HOMEWORK

• Page 540
• 1-3 and 6-8
• Due Monday!

4
Our Learning Goal

• Students will be able to find the perimeter and
  area of polygons find the area and circumference
  of circles and find the surface area and volume
  of 3D shapes.

5
Our Learning Goal Assignments

• Learn to find the perimeter and missing side
  lengths of a polygon.
• Learn to estimate the area of irregular figures
  and to find the area of rectangles, triangles,
  and parallelograms.
• Learn to break a polygon into simpler parts to
  find its area.
• Learn to make a model to explore how area and
  perimeter are affected by changes in the
  dimensions of a figure.
• Learn to identify the parts of a circle and to
  find the circumference and area of a circle.
• Learn to name solid figures.
• Learn to find the surface areas of prisms,
  pyramids, and cylinders.
• Learn to estimate and find the volumes of
  rectangular prisms and triangular prisms.
• Learn to find volumes of cylinders.

6
Warm Up Find the volume of each figure
described.
1. rectangular prism with length 12 cm, width 11
cm, and height 10 cm
2. triangular prism with height 11 cm and
triangular base with base length 10.2 cm and
height 6.4 cm
7
Problem of the Day The height of a box is half
its width. The length is 12 in. longer than its
width. If the volume of the box is 28 in , what
are the dimensions of the box?
3
1 in. ? 2 in. ? 14 in.
8
Todays Learning Goal Assignment Learn to find
volumes of cylinders.
9
To find the volume of a cylinder, you can use the
same method as you did for prisms Multiply the
area of the base by the height.
volume of a cylinder area of base ? height
The area of the circular base is ?r2, so the
formula is V Bh ?r2h.
10
Additional Example 1A Finding the Volume of a
Cylinder Find the volume V of the cylinder to the
nearest cubic unit. A.
V ?r2h
11
Try This Example 1A Find the volume V of each
cylinder to the nearest cubic unit. A.
6 ft
5 ft
V ?r2h
12
Additional Example 1B Finding the Volume of a
Cylinder B.
V ?r2h
13
Try This Example 1B B.
8 cm

6 cm
V ?r2h
14
Additional Example 1C Finding the Volume of a
Cylinder C.
V ?r2h
15
Try This Example 1C C.
h
r 5
4
h 8 in
V ?r2h
16
Additional Example 2A Application
Ali has a cylinder-shaped pencil
holder with a 3 in. diameter and a height of 5
in. Scott has a cylinder-shaped pencil holder
with a 4 in. diameter and a height of 6 in.
Estimate the volume of each cylinder to the
nearest cubic inch. A. Alis pencil holder
17
Additional Example 2B Application B.
Scotts pencil holder
18
Try This Example 2A Sara has a
cylinder-shaped sunglasses case with a 3 in.
diameter and a height of 6 in. Ulysses has a
cylinder-shaped pencil holder with a 4 in.
diameter and a height of 7 in. Estimate the
volume of each cylinder to the nearest cubic
inch. A. Saras sunglasses case
19
Try This Example 2B B. Ulysses pencil holder
20
Additional Example 3A 3B Comparing Volumes of
Cylinders
Find which cylinder has the greater
volume. Cylinder 1
Cylinder 2
21
Try This Example 3A 3B Find which cylinder has
the greater volume. Cylinder 1
Cylinder 2
22
Insert Lesson Title Here
Lesson Quiz
Find the volume of each cylinder to the nearest
cubic unit. Use 3.14 for ?.
1. radius 9 ft, height 4 ft
2. radius 3.2 ft, height 6 ft
3. Which cylinder has a greater volume? a. radius
5.6 ft and height 12 ft b. radius 9.1 ft and
height 6 ft
cylinder B