Surface Area And Volume Calculations - Panasonic PT-DZ12000U Operating Instructions Manual

SURFACE AREA AND VOLUME CALCULATIONS

Triangle
where b is the base and h is the height of the triangle
Rectangle
where a and b are the lengths of the sides
Rectangular Box V (volume) =
where w is the width, l is the length, and h is the height
Parallelogram (a 4-sided figure with opposite sides parallel)
where a and b are the length of the sides, h is the altitude (or
vertical height), and
Trapezoid (a 4-sided figure with two sides parallel)
where a and b are the length of the sides and h is the height
Regular polygon of n sides
A (area)
where a is the length of a side and n is the number of sides
Circle A (area)
where r is the radius and d is the diameter
Cube A (area)
V (volume) =
where a is the length of a side
Cylinder A (area)
V (volume) =
where r is the radius and h is the length of the height
Sphere A (area)
V (volume) =
where r is the radius and d is the diameter
A (area) =
A (area) =
A (area) =
is the angle between the sides
A (area) =
= 1/4 x n x a x cotangent (180 / n);
=
= 6 x a ;
3
a ;
= 2 x
= 4 x
4/3 x
½ x b x h;
a x b;
w x l x h;
a x h; or a x b x sin ;
½ x h (a + b);
2
2
x r ; or 1/4 x
2
x r x h;
2
x r x h;
2
x r ; or
3
x r or 1/6 x
158
2
x d ;
2
x d ;
3
x d
0