Civil Engineering Reference
In-Depth Information
10 FT
L
8 FT
R
F
12 FT
Figure 5-64
To find the area of the frustum of a cone.
circumference of 12-foot diameter
=
3
.
1416
×
12
=
37
.
7 feet
sum of circumferences
=
69
.
1 feet
√
1
2
√
65
slant height
=
+
8
2
=
=
8
.
12
1
slant surface
=
sum of circumferences
×
/
2
slant height
slant surface
=
69
.
1
×
1
×
8
.
12
=
280 square feet
/
2
Measurement of Solids—Volume
Problem 21
To find the volume of a rectangular solid.
Rule:
Multiply the length, width, and thickness together.
Example
What is the volume of a 4-inch
12-foot timber?
(Before applying the rule, reduce all dimensions to feet.)
4 inches
×
8-inch
×
=
1
/
3
foot
8 inches
/
3
foot
volume of timber
=
2
=
1
×
2
×
12
=
2
.
67 cubic feet
/
3
/
3
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