can somebody tell me the formulas for all shapes for volume and area ?
i have my final GCSE maths exams next week and i am still struggling with formulas, can anybody tell me the exact formulas for all the shapes for example the formula for volume and area for a cylinder, if that makes any sense ![]()
Area Perimeter
Rectangle length*height 2length+2height
Triangle 1/2 base*height a+b+c
Circle pie*r² 2*pie*r
Parallelogram Breath*Height 2b*2h
Trapezoid (a+b/2)*Height a+b+c+d
Surface area Volume
rectangular prism length*width*height 2(width*height)+2(width*length)+2(length*height)
Cylinder pie*r²*length 2*pie*r*height+2*pie*r²
Triangular prism 1/2bh*l (1/2bh)2+bl+Sidelength1+sidelength2
Cone 1/3 pie*r² pie*r*side+pie*r²
IF YOU DON’T UNDERSTAND THIS VERY WELL……
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Area
square = a2
rectangle = ab
parallelogram = bh
trapezoid = h/2 (b1 + b2)
circle = pi r 2
ellipse = pi r1 r2
triangle = (1/2) b h
Volumes
cube = a3
rectangular prism = a b c
irregular prism = b h
cylinder = b h = r2 h
pyramid = (1/3) b h
cone = (1/3) b h = 1/3 r2 h
sphere = (4/3) r3
ellipsoid = (4/3) pi r1 r2 r3
Surface Areas
cube = 6 a2
prism:
(lateral area) = perimeter(b) L
(total area) = perimeter(b) L + 2b
sphere = 4 r2
this website might help u a bit more http://math2.org/math/geometry/areasvols.htm
The first chart linked below has quite a bit, although it doesn’t have a lot of surface areas. The second chart has better info on surface areas. If you have a math book, it may have a good page of these too, typically inside the front or back cover. Note: only go off charts like this, don’t trust formulas people type in, they might mean well but if they have a typo it will cost you.
References :
http://math2.org/math/geometry/areasvols.htm
http://www.onlinemathlearning.com/surface-area-formula.html
Area Perimeter
Rectangle length*height 2length+2height
Triangle 1/2 base*height a+b+c
Circle pie*r² 2*pie*r
Parallelogram Breath*Height 2b*2h
Trapezoid (a+b/2)*Height a+b+c+d
Surface area Volume
rectangular prism length*width*height 2(width*height)+2(width*length)+2(length*height)
Cylinder pie*r²*length 2*pie*r*height+2*pie*r²
Triangular prism 1/2bh*l (1/2bh)2+bl+Sidelength1+sidelength2
Cone 1/3 pie*r² pie*r*side+pie*r²
IF YOU DON’T UNDERSTAND THIS VERY WELL……

Area
square = a2
rectangle = ab
parallelogram = bh
trapezoid = h/2 (b1 + b2)
circle = pi r 2
ellipse = pi r1 r2
triangle = (1/2) b h
Volumes
cube = a3
rectangular prism = a b c
irregular prism = b h
cylinder = b h = r2 h
pyramid = (1/3) b h
cone = (1/3) b h = 1/3 r2 h
sphere = (4/3) r3
ellipsoid = (4/3) pi r1 r2 r3
Surface Areas
cube = 6 a2
prism:
(lateral area) = perimeter(b) L
(total area) = perimeter(b) L + 2b
sphere = 4 r2
this website might help u a bit more http://math2.org/math/geometry/areasvols.htm
References :
Math Class and google surfing