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3D Shapes
Surface areas and volume of 3D shapes
Term | Definition |
---|---|
2πr | circumference of a circle |
1/2 d1d2 | area of a rhombus |
πr² | area of a circle |
s² | area of a square |
1/2 ap | area of a regular polygon |
h(b1+b2)/2 | area of a trapezoid |
Ph | lateral area of prism |
La+2B | Total area of a prism |
Bh | volume of prism |
6e² | total area of a cube |
e³ | volume of a cube |
1/2 Pl | surface area of a pyramid |
LA+B | total area of a pyramid |
1/3 Bh | volume of a pyramid |
Ch | Lateral area of cylinder |
LA+2B | Total Area of a cylinder |
Bh | volume of cylinder |
1/2Cl | Lateral Area of a Cone |
LA+B | total area of a cone |
1/3Bh | volume of a cone |
4/3 πr³ | volume of a sphere |
a²+h²=l² | slant height |
Cube | SA = 6(e squared) V = e cubed |
Rectangular Prism | SA = 2(lw + wh + lh) V = Bh |
Prism | SA = Sum of the Area of the Bases OR Perimeter of the base times the height + area of two bases V = Bh |
Cylinder | SA = 2pi(radius squared) + 2pi(rh) V = pir squaredh |
Pyramid | SA = Sum of the areas of the faces V = 1/3 Bh |
Cone | SA = pi*r (l+r) V = 1/3 pir squaredh |
Sphere | SA = 4pir squared V = 4/3 pi*r cubed |