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Volume and Surface Area

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by

Matthew Alzate

on 7 January 2013

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Transcript of Volume and Surface Area

VOLUME By: Mateo Alzate and Khoi Ngo Volume: Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. Its units are always "cubic", that is, the number of little element cubes that fit inside the figure. For Example l A= l x w
A= 8cm x 2cm
A= 16 cm 2 V= lwh 3 cm 3cm 3cm V= s
V= 3cm x 3cm x 3cm
V= 27 cm 3 3 10 cm 6cm 4cm V= lwh
V= 10cm x 4cm x 6cm
V= 240cm 3 V= Volume
l = length
w= width
h= height V= lwh
V= 2cm x 2cm x 8cm
V= 32 cm 3 Rectangular Pyramid 4cm 4cm 7cm V= 1/3 lwh
V= 1/3 (7cm x 4cm x 4cm)
V= 37.3 cm 3 Cylinder. 10m 6m V=πr h
V= 3.14 x 3cm x 10cm
V= 282.6cm 2 2 3 Cone V= 1/3 πr h 2 4km 7.5km 4km 8.5km ? Pythagorean Theorem A + B = C 2 2 2 C - A = B
8.5km - 4km = B
72.25 - 16 = 56.25
√ 56.25= 7.5
7.5= B 2 2 2 2 2 2 V= 1/3 πr h
V= 1/3 ( π x 4km x 7.5km)
V= 125.7 km 2 2 3 SPHERE V= 4/3 πr 3 12m V= 4/3 πr
V= 4/3 π x 12
V= 7238.2km 3 3 3 V= 7238.2km / 2
V= 3619.1km 2 2 Relations Between Shapes. A right pyramid is related to a right prism. A right cone and a cylinder. A sphere and a Cylinder 8cm 2cm 8cm 2cm 2cm Volume of Composite Objects. To find the volume of this composite object, you will have to find the volume of the hemispheres first. V= 4/3 πr
V= 4/3 (3.14 x 1)
V= 4.186' 2 3 V= πr h
V= 3.14 x 1 x 6
V= 18.84' 3 2 V= 23.026' 3 Then find the volume of the Cylinder Then add them together. First find the volume of the rectangular prism 3cm V= lwh
V= 5cm x 5cm x 7cm
V= 175 cm 3 Then find the volume of the cone. V= 1/3πr h
V= 1/3 (3.14 x 2.25cm x 5cm
V= 11.775cm 2 3 5cm Now subtract the volume of the cone from the volume of the rectangular prism. V= 175cm - 11.775 cm
V= 163.225 cm 3 3 3 A Mathematician says: Pi r squared
A Baker replies: Pi r round not squared, cake is squared. A Mathematician says: Pi r squared.
The baker replies: Pie are round! not square! Cake is square!
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