Surface Area and Volume of 3D Shapes
TRIANGULAR PRISM
VOLUME: BH
** B is the area of the base
** H is the height of the prism
V = (1/2bh)(height)
RECTANGULAR PRISM
VOLUME: BH
** B is the area of the base
** H is the height of the prism
V = (LW)(height)
CYLINDER
VOLUME: BH
** B is the area of the base
** H is the height of the prism
V = (3.14rr)(height)
TRIANGULAR PYRAMID
VOLUME: 1/3BH
** B is the area of the base
** H is the VERTICAL height of the prism
V = 1/3(1/2bh)(VERTICAL height)
RECTANGULAR PYRAMID
VOLUME: 1/3BH
** B is the area of the base
** H is the VERTICAL height of the pyramid
V = 1/3(LW)(VERTUCAL height)
CONE
VOLUME: 1/3BH
** B is the area of the base
** H is the VERTICAL height of the cone
SA = 1/3(3.14rr)(VERTICAL height)
SPHERE
VOLUME: 3/4 Pie r cubed
SA = 3/4(3.14rrr)
When solving for Volume, you are finding the total area that is inside a shape. Since it is 3 Dimensional, the units are cubed on the answer. The volume of a shape, in real life, is the amount of water a cup can hold or the amount of cubic gallons that are in a swimming pool. Please see the volume formulas below.
VOLUME