Studied by 23 peopletriangular prism V
1/2LWH
square pyramid V
1/3S^2*H
Cube V
S^3
Sphere V
4/3pie*R^3
rectangular prism V
LWH
Cylinder V
pieR^2*H
rectangular pyramid V
1/3LWH
Square pyramid SA
B^2+2BH
triangular pyramid SA
BH+LB+LS+LH
cylinder SA
2pieR^2+2pieR*H
rectangular prism SA
2(LW+WH+HL)
cone SA
pieRS+pieR^2
triangular pyramid V
1/6LWH
cone V
1/3pieR^2*H
sphere SA
4pieR^2
to find mass
D*V
to find density
M/V
to find volume
M/D
to find SA or Volume in terms of pie
Leave out pie in the equation and add it back to the answer you get
Volume units
cm^3, in^3, m^3, km^3, mi^3, ft^3
Surface area units
cm^2, in^2, m^2, km^2, mi^2, ft^2
Mass units
grams or kilograms
volume units
centimeters^2, meters^2, inches^2
Density units
g/mL, g/mL^3
volume
the amount that it takes to fill and object, or the amount of material that it can hold
Composite figures
made up of one or more shapes. to find the volume of the figure, find the volume of each shape alone, then add or subtract the volumes
Surface area
the total amount of material it takes to cover or wrap the shape. add the area of each side of the shape
Density
the ratio of mass and volume of an object. density refers to the relationship between mass and volume.
volume
the space an object takes up
mass
the weight of an object
pythagorean theorem
A^2+B^2=C^2
pythagorean theorem steps
find A^2, Find B^2, Add them together, you should have ANSWER= C^2, square root your answer to get the missing side of the triangle
cross section
a surface or shape that is exposed by making a cut through something. (think of a cross section as a thin slice of an object, whatever shape it is is your cross section)
rotations to form a 3-d shape
rotate a 2-d object around a line to make a 3-d shape. (hint: there can only be three possible shapes. Cylinder, Cone, or a Circle)(think about a coin- 2-d shape= circle, 3-d shape= sphere)
population area
population is the mass, the area in square miles is the volume. density have units of # of people/mi^2
Note
Flashcard