3.4a : Volume of Prisms and Cylinders

1
3.4a Volume of Prisms and Cylinders

• p. 607-613

CCSS
GSEs
Primary
M(GM)106 Solves problems involving perimeter,
circumference, or area of two dimensional figures
(including composite figures) or surface area or
volume of three
Secondary
M(GM)102 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
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
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