By: Shelbi Legg and Taylor Mastin. Find volumes of prisms. Find volumes of cylinders.
-
Upload
jasper-knight -
Category
Documents
-
view
224 -
download
0
Transcript of By: Shelbi Legg and Taylor Mastin. Find volumes of prisms. Find volumes of cylinders.
The volume of a figure is the measure of the amount of space that a figure encloses.
Volume is measured in cubic units.
(units³) You can create a rectangular
prism from different views of the figure to investigate its volume.
If a prism has a volume of V cubic units, a height of h units, and each base has an area of B square units, then V=Bh.
Area of Base=B
h
a² + b² = c² Use Pythagoream Theorem. a² + 8² = 17² b=8, c=17 a² + 64 = 289 Multiply. a² = 225 Subtract 64 from both
sides. a = 15 Take the square root of
both sides. V= Bh Next, find the volume of the
prism. V=½(8)(15)(13) Substitute the numbers in. V=780 cm³ Multiply.
8(3)= 24 Find the area of the base. V= 24(12) Then plug the area of the
base into the formula. V= 288 in³ Multiply.
If a cylinder has a volume of V cubic units, a height of h units, and the bases have radii of r units, then V=Bh or V=πr²h. Area of base= πr²
r
V= ¶r²h Use the volume formula for cylinders. V= ¶(4.6²)(12.4) r= 4.6 m, h= 12.4 m V≈824.3 m³ Multiply.
R= 4.6
12.4
If two solids have the same height and the same cross-sectional area at every level, then they have the same volume.
If a cylinder has a base with an area of B square units and a height of h units, then its volume is Bh cubic units, whether it is right or oblique.
h