1. 3.4a : Volume of Prisms and Cylinders
CCSS:
GSE’s
Primary
M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional figures (including composite figures) or surface area or volume of three
Secondary
M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines, polygons, circles, or right triangle ratios (sine, cosine, tangent) within mathematics or across disciplines or contexts (e.g., Pythagorean Theorem, Triangle Inequality Theorem)

2. Ex. Finding how much water fits into a pitcher
Volume- The amount of space inside of a 3-D object
Ex. Finding how much water fits into a pitcher
is finding the volume of the pitcher

3. Area of base Volume of any right Prisms or Cylinder:
Height between the bases
(altitude)
Area of base

4. Find the volume

5. Answer
The bases are trapezoids
(22)
(h)
= (22)(7)
= 154 ft3

6. Find the Volume

7. Answer:
V= Bh
B = Area of the Triangle (base)

8. Find the Volume of the Cylinder

9. Answer:
V= Bh
Find the Volume of the Cylinder

10. The surface area of a cylinder is 140 square mm.
The radius of the cylinder is 3 mm.
What is the volume of the cylinder?

11. The surface area of a cylinder is 140 square mm.
The radius of the cylinder is 3 mm.
What is the volume of the cylinder?
Answer:
Need the height, go back to SA info

12. If the side of a cube is doubled, what happens to the volume?

13. Find the volume of the steel I-Beam

14. Find the volume of
Toilet paper left on the roll

15. Home Depot claims this
Shed has over 50 cubic feet of storage area. Is this a correct statement?
[ 1 ft = 12 in]
[ 1 sq foot = 144 sq inches]
[1 cubic ft = 1,728 cubic inches]

16. Find the Volume

17. Homework