This document contains information about prisms and cylinders including their parts, how to find the lateral area, surface area, and volume of each shape. It provides definitions of key terms like base, altitude, lateral faces, radius, circumference. It also gives step-by-step examples of calculating these measurements for various prisms and cylinders.

1. By Henry and Ethan
Cylinders Prisms

2. Parts of a Prism
-Base: 2 parallel, congruent polygons lying on
different planes
-Lateral Edges: Adjacent lateral faces intersect
in parallel segments
-Lateral Faces: the faces of a prism that are not
bases
-Altitude: A segment joining the 2 base planes
and perpendicular to it. (the length of
View parts
the altitude is the height )
on Prism
How to find
the Lateral
Home
area of a
Prism

3.  Lateral Area =perimeter x height
 Perimeter = add all sides of the shape together
 Lateral Area =(X+Y+Z) x A
View
example
Theorem-The lateral area of a right triangle
equals the perimeter of a base times the height
(L.A.=ph)
How to find
the surface
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area of a
Prism

4.  Surface Area =lateral area x 2bases(multiply the base
by 2)
Surface Area= (X+Y+Z) x 2( ½ x A x X)
View
example
How to
find the Home
volume of
a Prism

5.  Volume= area of base x height
 Area of base = (½ x hypotenuse x height of the triangle)
 Volume= (½ x Z x Y) x X
View
example
Theorem-The volume of a right prism equals
the area of a base times the height of the Prism
(V=Bh) Home

6.  Parts of a Cylinder-Cylinder-like a prism except its
bases are circles.
-Altitude-the segment joining the
centers of the circle
together.
-Radius-the center of a base circle.
View parts
on cylinder
How to find
the lateral
Home
area of a
cylinder

7.  Lateral Area = 2 x π x radius x height
Lateral Area =2 x π x X x Y
View
example
How to find
Theorem-the lateral area of a cylinder equals
the surface
the circumference of a base times the height of
area of a
the cylinder Home
Cylinder

8.  Surface Area = Lateral Area x 2 x bases (area of a circle)
Surface Area = (2πX)y+2(πX²)
View
example
How to find
the volume
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of a
Cylinder

9.  Volume = π radius² x the height
Volume = πX²Y
View
example
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10. Step 1-Find the perimeter
2+2+5=9
Step 2-Multiply the
perimeter by the
height
9 x 10=90
Lateral area =90
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slide

11.  Surface Area-Step 1:find the base area and multiply it by 2
2( ½ x 10 x 7)=70
-step 2:find the lateral area
5+5+10=20
-step 3:multiply the product of the first 2 together
20 x 70=1400
Surface Area =1400
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slide

12. Volume-Step1: Find the area of the base
½ x 5 x 7=17 ½
Step2: Area of the Base x height
17 ½ x 13 =227 ½
Volume=227 ½
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slide

13. Lateral Area -Step 1:find circumference
of the base
2π 17=106.76
-Step 2:multiply the
circumference by
the height.
106.76 x 23=2455.48
Lateral Area =2455.48
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14. Surface Area - Step 1: find the lateral area
2π8 x 12=602.88
- Step 2:find the area of the base
π8²=631.02
- Step 3: finish the equation
603 + (2 x 631)=
Surface Area =1865
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15. Volume- Step 1:find the area of
the circle.
π5²=246.49
- Step 2:multiply the
area by the height
246 x 6
Volume = 1476
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