Math Test

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Geometry & Trigonometry

3D Shapes

10th

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35 Terms

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triangular prism V
1/2L*W*H
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square pyramid V
1/3S^2*H
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Cube V
S^3
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Sphere V
4/3pie*R^3
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rectangular prism V
L*W*H
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Cylinder V
pieR^2*H
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rectangular pyramid V
1/3L*W*H
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Square pyramid SA
B^2+2BH
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triangular pyramid SA
BH+LB+LS+LH
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cylinder SA
2pieR^2+2pieR*H
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rectangular prism SA
2(LW+WH+HL)
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cone SA
pieRS+pieR^2
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triangular pyramid V
1/6L*W*H
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cone V
1/3pieR^2*H
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sphere SA
4pieR^2
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to find mass
D*V
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to find density
M/V
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to find volume
M/D
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to find SA or Volume in terms of pie
Leave out pie in the equation and add it back to the answer you get
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Volume units
cm^3, in^3, m^3, km^3, mi^3, ft^3
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Surface area units
cm^2, in^2, m^2, km^2, mi^2, ft^2
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Mass units
grams or kilograms
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volume units
centimeters^2, meters^2, inches^2
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Density units
g/mL, g/mL^3
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volume
the amount that it takes to fill and object, or the amount of material that it can hold
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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
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Surface area
the total amount of material it takes to cover or wrap the shape. add the area of each side of the shape
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Density
the ratio of mass and volume of an object. density refers to the relationship between mass and volume.
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volume
the space an object takes up
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mass
the weight of an object
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pythagorean theorem
A^2+B^2=C^2
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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
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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)
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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)
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population area
population is the mass, the area in square miles is the volume. density have units of # of people/mi^2