is the portion below plane MN. The altitude is the
perpendicular distance between the bases.
V = l/3h(B + b + ~)
Volume of the frustum in cubic units
Altitude in linear units
Area of the lower base in square units
Area of the upper base in square units
Find the volume of a frustum of a square pyramid if one
side of its upper base is 2" and one side of the lower base
is 8". The distance between the bases is 10".
The area of the bases will be
B = (8)2
b = (2)2
V = 1/3 X 10(82 +22+~)
V = l/3x10[64+4+(8+2)]
V = l/3x10(64+4+16)
V = 1/3x10x84
V = 280 cu in.
Conversion of Units of Cubic Measure
It is often necessary to convert from one cubic
measure to another. The conversion factors used are as
1 cubic foot = 1,728 cubic inches
1 cubic yard= 27 cubic feet
1 cubic foot = 7.48 U.S. gallons (liquid measure)
1 U.S. gallon (liquid measure) = 231 cubic inches
1 bushel (dry measure) = 2,150.42 cubic inches
1. How many cubic feet are there in 4,320 cubic
To convert cubic inches to cubic feet, divide by
2. How many cubic inches are there in 3.5 cubic
To convert cubic feet to cubic inches, multiply by
3. How many cubic yards are there in 35 cubic
To convert cubic feet to cubic yards, divide by 27.
To convert cubic yards to cubic feet, multiply by 27.
4. How many gallons are contained in a tank
having a volume of 25 cubic feet?
To change cubic feet to,gallons, multiply by 7.48.
To change gallons to cubic feet, divide by 7.48.