Transcript Chapter 10 Surface Area & Volume

Chapter 10
Extension
Objective:
To find missing dimensions
Finding Surface Areas of Composite
Figures
Example 1
A)
Finding Missing Dimensions
(Prisms & Cylinders)
A triangular prism has base edges 4 cm, 5 cm,
and 6 cm long. Its lateral area is 300 𝑐𝑚2 . What
is the height of the prism?
B)
The volume of a cylinder is 600π𝑐𝑚3 . The radius
of a base of the cylinder is 5 cm. What is the
height of the cylinder?
C) The volume of a cylinder is 135π𝑐𝑚3 . The height
of the cylinder is 15 cm. What is the radius of a base
of the cylinder?
Example 2
A)
Finding Missing Dimensions
(Cones & Pyramids)
The lateral area of a pyramid with square base is
240 𝑓𝑡 2 . Its base edges are 12 feet long. Find
the height of the pyramid.
B)
The lateral area of a cone is 48π𝑖𝑛2 . The radius
is 12 in. Find the slant height.
C)
The volume of a cone is 82,418π 𝑐𝑚3 . Its
diameter is 203 cm. What is its height?
Example 3
Finding Missing Dimensions
The length of a side of the base (s), slant height,
height, lateral area, and surface area are
measurements of a square pyramid. Given two of the
measurements, find the other three to the nearest
tenth.
A)
s = 3 in., S.A. = 39 𝑖𝑛2
The length of a side of the base (s), slant height,
height, lateral area, and surface area are
measurements of a square pyramid. Given two of the
measurements, find the other three to the nearest
tenth.
B)
h = 8 m., l = 10 m
Example 4
Finding Missing Dimensions
Circumference, radius, slant height, lateral area, and
surface area are measurements of a cone. Given two
of the measurements, find the other three to the
nearest tenth.
A)
l = 10.6 ft., L.A. = 33.3 𝑓𝑡 2
Circumference, radius, slant height, lateral area, and
surface area are measurements of a cone. Given two
of the measurements, find the other three to the
nearest tenth.
B)
C = 44 in., L.A. = 176𝑖𝑛2
Example 5
Surface Area of Composite
Figures
Find the surface area to the nearest whole number.
A)
Find the surface area to the nearest whole number.
B)