Date post: | 28-Dec-2015 |
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VOLUME = the number of cubic units contained in its
interior
VOLUME has cubic
units
Cm3, ft3, units3
The volume of a cube is side3
4 ft
Volume = length•width•height
Volume = s3
Volume = 43
Volume = 64 ft3
In a CUBE they are all the same
When a prism is NOT a cube…
B (area of the BASE) The formula for B will
depend on the shape of the base.
B (area of the BASE) The formula for B will
depend on the shape of the base.
B = area of the BASE h = HEIGHT
Volume of a Prism
V = 12 in3
4 in 3 in
2 in
BhV
hBaseV theof area
2 ofheight of base5. V
2435. V
How many cones will it take to fill the
cylinder?• They have the same size base.
• They also have the same height.
2 cm
3 cm
What is the volume of this cone?Round to the nearest tenth.
3.6 cm
V r
3
2
( ) h
V 2
3
2
( ) 3
V 3 12.6 cm
1V Bh
3
2 Types of Answers
Rounded• Type the Pi
button on your calculator
• Toggle your answer
• Do NOT write Pi in your answer
Exact• Pi will be
in your answer
If you cut a sphere right down the middle you would create two congruent halves called HEMISPHERES.
You can think of the globe. The equator cuts the earth into the northern and southern hemisphere.
Look at the cross section formed when you cut a sphere in half.
What shape is it?
A circle!!! This is called the GREAT CIRCLE of the sphere.
25 in
The circumference of a great circle of a sphere is 25 inches. Find the surface area of the sphere. (Round to the nearest tenths.)
25 12.52
r
212.5
4
SA
25 2 r
2198.9SA in
A sphere is inscribed in a cube of volume 27 cubic meters. What is the surface area of the sphere? Give an exact answer and an answer rounded to the nearest hundredth.
SA4 r2
24 1.5 SA
29 mSA 228.27m