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
Home
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)
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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
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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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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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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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