Lesson 13.1-Volume of Prisms and Cylinders. Objectives. Find volumes of prisms Find volumes of cylinders. Definition of Volume. Volume is a measure of the amount of space that a figure encloses Volume is always recorded in cubic units ex. cm. 3
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Find volumes of prisms
Find volumes of cylinders
Volume is a measure of the amount of space that a figure encloses
Volume is always recorded in cubic units ex. cm.3
Remember that if there is a part cut out of the center of the figure you have to subtract it’s volume from the volume of the entire figure
B=Area of the base
h=height of prism
10ft. 12 ft. 13ft.
1)Find the area of the triangular base
2)Create the height of one of the bases and use Pythagorean Theorem to find the height of the base.
4) x2= 144
5) h= 12
6)Find area of triangular base,
To find the volume of a cylinder, use
This is basically the area of
height of the base times the height just like
in a prism
1)Take ½ of the diameter to get the radius.
2)1/2 of the diameter is twelve, now plug everything into the formula
5)V=4320π or 13,571.7m.3
1) If two solids have the same height and the same cross-sectional area at every level, then they have the same volume…….
#7-16, #18, #22-23