10.5 Surface Area
Formula for surface area of a rectangular prism (box)
S = 2B + Ph or S= 2 base area + lateral area
What is the formula for the area of a circle
A=pir^2
Formula for volume of a prism
V = Bh or l*w*h
Name of an angle with 180 degrees. Draw example too.
Straight angle
Find the common ratio in this geometric sequence: 3, 9, 27
last term/previous term
Formula for surface area of a cylinder
S = 2B + lateral area or S = 2pir^2 + pidh
Find the area of a circle with a diameter of 10 meters in terms of pi.
A=pir^2=pi5^2=25pi m^2
Formula for volume of a cylinder
V=Base Area * height
V = pir^2h
an obtuse angle is
greater than 90 degree
Draw alternate exterior angles & what is special about them.
Lie on opposite sides of the transversal outside of the other two lines. They are congruent (same angle measure)
Find the surface area of a box with a length of 6, w = 4, h=10 cm
SA = 2Base Area + Lateral Area = 2B + (perimeter)(height)
SA = 48 + 200 = 248 units squared
Formula for the area of a trapezoid
A = average of the two base lines * height
A=1/2 (b + b)h
Find the volume of the cylinder with these dimensions: radius of base is 8, height of cylinder is 2. Leave in terms of Pi.
V = Bh
V=pir^2h = pi8^2(2)=128 pi
Complementary angles add up to
90 degrees (Memory trick: it's always RIGHT to give a compliment. Or corners and compliments are right)
Common difference is -2. (3-5 = -2) Arithmetic
Find the surface area of a cylinder with a base radius of 4 and a height of 10 units
S = 2pir^2 + pidh
2pi4^2 + pi (8)(10) = 352 units^2
Find the unknown measurement of the trapezoid on page 525 problem 23.
Area = average of both bases * height
1800= 1/2(50 +b)48
1800= (48)(1/2)(50+b) = 24 (50+b) =1200 + 24b
1800-1200 = 24b
600 = 24b, (600/24) = b =25
Find the volume of a prism with triangular bases with b 4 and height of 3, and height of the prism is 10.
V=Base area * height
V= 1/2 (4*3) * 10
Supplementary angles add up to
180 degrees (hint both supplementary and straight start with s and both are 180)
Find the volume of a sphere with a radius of 12
4/3 (pir^3)
What is the formula for the surface area of a regular pyramid?
SA = Base area + (Perimeter) (Slant height)
Explain how to find the slant height of a pyramid (the slanted side) by drawing a diagram and a formula
Pythagorean theorem a^2 + b^2 = c^2 - use the height as a. and 1/2 the length of the base as b. c will be the slant height (diagram on pg. 544)
Formula for volume of a sphere
V= 4/3 (pir^3)
They are congruent (angle measure is the same) When two lines intersect, the pairs of opposite angles are vertical angles.
Find the common difference or ratio, then find the next three terms in the sequence: 1000, 100, 10....
Geometric so last term/previous term = 10/100 = 1/10 is the common ratio. Next terms