This document provides instructions on calculating the surface area and volume of various 3D shapes, including a cube, rectangular prism, and triangular prism. It then provides the surface area and volume calculations for each shape. The next section provides practice problems from a textbook with even numbered answers. Finally, the document describes a partner activity where students measure cylinders, calculate the surface area and volume, and estimate the number of M&Ms inside.

1. WARMUPWARMUP
Directions: Find the surface area and volume of the objects below.Directions: Find the surface area and volume of the objects below.
Cube
5in.
5in.
12 in.
3in.
Rectangular prism
10 in.
3 in.
Triangular prism
4in.
1. Cube
a. Surface Area –
b. Volume –
2. Rectangular Prism
a. Surface Area –
b. Volume –
3. Triangular prism
a. Surface Area –
b. Volume -
100 in²
125 in³
150 in²
180 in³
72 in²
60 in³
5in.

2. p. 387 – 388 # 1 -15 all even answersp. 387 – 388 # 1 -15 all even answers
 2. 100 m² , 150 m² , 125 m³2. 100 m² , 150 m² , 125 m³
 4. 36 in³4. 36 in³
 6. 3456 in² , 15,400 in³6. 3456 in² , 15,400 in³
 8. 300 ft³8. 300 ft³
 10. 21 lb10. 21 lb
 12. 220 in³12. 220 in³
 14. 2 ft 4 in by 2 ft by 4 in by 2 ft 8 in14. 2 ft 4 in by 2 ft by 4 in by 2 ft 8 in

3. Tech Math 1Tech Math 1
 Day 66: 12.8 CylindersDay 66: 12.8 Cylinders

4. CylindersCylinders
 Volume:Volume:
 It’s still (base)(height)It’s still (base)(height)
2
V r hπ=
2
circleA rπ=
7in.
4 in.

5. CylindersCylinders
 Lateral Surface Area:Lateral Surface Area:
 It’s still (perimeter)(height)It’s still (perimeter)(height)
2A rhπ=
2circleC rπ=
7in.
4 in.
It’s still (circumferance)(height)It’s still (circumferance)(height)
Bounty

6. Example 1: Find the volume andExample 1: Find the volume and
lateral surface arealateral surface area
10in.
6 in.
2
V r hπ=
2A rhπ=
2
(3) (10)V π=
(9)(10)V π=
90V π=
3
282.74 inV =
2 (3)(10)A π=
2 (30)A π=
60A π=
2
188.50 inA =

7. Partner ActivityPartner Activity
 With your Summer partner:With your Summer partner:
 1. Find and measure 2 different cylinder shapes1. Find and measure 2 different cylinder shapes
 A. Calculate lateral surface areaA. Calculate lateral surface area
 B. Calculate the volumeB. Calculate the volume
 2. Using the M&M Candy Guess worksheet and2. Using the M&M Candy Guess worksheet and
what we’ve learned about volume, determine thewhat we’ve learned about volume, determine the
number of M&M’s in the cylinder.number of M&M’s in the cylinder.
 Closest guess wins!Closest guess wins!
 We’ll count them after everyone has finished.We’ll count them after everyone has finished.
 Then we’ll eat them!Then we’ll eat them!  YUM!YUM!

8. AssignmentAssignment
 pgs. 392 – 393 #1 – 20 ALLpgs. 392 – 393 #1 – 20 ALL