Gilson and Voss - Voss Associates

SURFACE AREA AND VOLUME CALCULATIONS
Triangle A (area) = ½ x b x h;
where b is the base and h is the height of the triangle
Rectangle A (area) = a x b;
where a and b are the lengths of the sides
Rectangular Box V (volume) = w x l x h;
where w is the width, l is the length, and h is the height
Parallelogram (a 4-sided figure with opposite sides parallel)
A (area) = a x h; or a x b x sin ;
where a and b are the length of the sides, h is the altitude (or
vertical height), and is the angle between the sides
Trapezoid (a 4-sided figure with two sides parallel)
A (area) = ½ x h (a + b);
where a and b are the length of the sides and h is the height
Regular polygon of n sides
2 0
A (area) = 1/4 x n x a x cotangent (180 / n);
where a is the length of a side and n is the number of sides
2 2
Circle A (area) = x r ; or 1/4 x x d ;
where r is the radius and d is the diameter
2
Cube A (area) = 6 x a ;
3
V (volume) = a ;
where a is the length of a side
Cylinder A (area) = 2 x x r x h;
2
V (volume) = x r x h;
where r is the radius and h is the length of the height
2 2
Sphere A (area) = 4 x x r ; or x d ;
3 3
V (volume) = 4/3 x x r or 1/6 x x d
where r is the radius and d is the diameter
SURFACE AREA AND VOLUME CALCULATIONS
Triangle A (area) = ½ x b x h;
where b is the base and h is the height of the triangle
Rectangle A (area) = a x b;
where a and b are the lengths of the sides
Rectangular Box V (volume) = w x l x h;
where w is the width, l is the length, and h is the height
Parallelogram (a 4-sided figure with opposite sides parallel)
A (area) = a x h; or a x b x sin ;
where a and b are the length of the sides, h is the altitude (or
vertical height), and is the angle between the sides
Trapezoid (a 4-sided figure with two sides parallel)
A (area) = ½ x h (a + b);
where a and b are the length of the sides and h is the height
Regular polygon of n sides
2 0
A (area) = 1/4 x n x a x cotangent (180 / n);
where a is the length of a side and n is the number of sides
2 2
Circle A (area) = x r ; or 1/4 x x d ;
where r is the radius and d is the diameter
2
Cube A (area) = 6 x a ;
3
V (volume) = a ;
where a is the length of a side
Cylinder A (area) = 2 x x r x h;
2
V (volume) = x r x h;
where r is the radius and h is the length of the height
2 2
Sphere A (area) = 4 x x r ; or x d ;
3 3
V (volume) = 4/3 x x r or 1/6 x x d
where r is the radius and d is the diameter
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SURFACE AREA AND VOLUME CALCULATIONS
Triangle A (area) = ½ x b x h;
where b is the base and h is the height of the triangle
Rectangle A (area) = a x b;
where a and b are the lengths of the sides
Rectangular Box V (volume) = w x l x h;
where w is the width, l is the length, and h is the height
Parallelogram (a 4-sided figure with opposite sides parallel)
A (area) = a x h; or a x b x sin ;
where a and b are the length of the sides, h is the altitude (or
vertical height), and is the angle between the sides
Trapezoid (a 4-sided figure with two sides parallel)
A (area) = ½ x h (a + b);
where a and b are the length of the sides and h is the height
Regular polygon of n sides
2 0
A (area) = 1/4 x n x a x cotangent (180 / n);
where a is the length of a side and n is the number of sides
2 2
Circle A (area) = x r ; or 1/4 x x d ;
where r is the radius and d is the diameter
2
Cube A (area) = 6 x a ;
3
V (volume) = a ;
where a is the length of a side
Cylinder A (area) = 2 x x r x h;
2
V (volume) = x r x h;
where r is the radius and h is the length of the height
2 2
Sphere A (area) = 4 x x r ; or x d ;
3 3
V (volume) = 4/3 x x r or 1/6 x x d
where r is the radius and d is the diameter
SURFACE AREA AND VOLUME CALCULATIONS
Triangle A (area) = ½ x b x h;
where b is the base and h is the height of the triangle
Rectangle A (area) = a x b;
where a and b are the lengths of the sides
Rectangular Box V (volume) = w x l x h;
where w is the width, l is the length, and h is the height
Parallelogram (a 4-sided figure with opposite sides parallel)
A (area) = a x h; or a x b x sin ;
where a and b are the length of the sides, h is the altitude (or
vertical height), and is the angle between the sides
Trapezoid (a 4-sided figure with two sides parallel)
A (area) = ½ x h (a + b);
where a and b are the length of the sides and h is the height
Regular polygon of n sides
2 0
A (area) = 1/4 x n x a x cotangent (180 / n);
where a is the length of a side and n is the number of sides
2 2
Circle A (area) = x r ; or 1/4 x x d ;
where r is the radius and d is the diameter
2
Cube A (area) = 6 x a ;
3
V (volume) = a ;
where a is the length of a side
Cylinder A (area) = 2 x x r x h;
2
V (volume) = x r x h;
where r is the radius and h is the length of the height
2 2
Sphere A (area) = 4 x x r ; or x d ;
3 3
V (volume) = 4/3 x x r or 1/6 x x d
where r is the radius and d is the diameter
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Page 122