Title: 3.4a : Volume of Prisms and Cylinders
13.4a Volume of Prisms and Cylinders
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)
2Volume- 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
3Volume of any right Prisms or Cylinder
Height between the bases (altitude)
Area of base
4Find the volume
5Answer
The bases are trapezoids
(22)
(h)
(22)(7) 154 ft3
6Find the Volume
7Answer V Bh
B Area of the Triangle (base)
8Find the Volume of the Cylinder
9Answer V Bh
Find the Volume of the Cylinder
10The surface area of a cylinder is 140 square mm.
The radius of the cylinder is 3 mm. What is
the volume of the cylinder?
11The 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
12If the side of a cube is doubled, what happens to
the volume?
13Find the volume of the steel I-Beam
14Find the volume of Toilet paper left on the roll
15Home 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
16Find the Volume
17Homework