Formulas
Surface Area
Volume
Similar or Not Similar Solids
Scale Factor
100
What is the formula for finding the surface area of a general prism?
S=hp+2B
100
What is the surface area for a cube with a side length of 4 inches?
SA= 6s^2 SA=6(4)^2 SA=96in^2
100
V=S^3 V=4^3 V=64in^3
What is the volume for a cube with a side length of 4 inches?
100
Are these shapes similar or not similar? Rectangle 1=width-10 length-5 height-3 Rectangle 2=width-15 length-5 height-6
15/10=1.5 5/5=1 6/3=2 Not similar
100
The scale factor is 87/100, what is the surface area?
87^2 is 7569 100^2 is 10000 So the surface area is 7569/10000 in^2
200
What is the formula for finding volume of a cylinder?
V=pi(r^2)h
200
What is the surface area of a sphere with a 10cm radius?
SA=4nr^2 SA= 4n(10)^2 SA= 1256.64cm^2
200
What is the volume of a sphere with a 10cm radius?
V=4/3(pi)R^3 V=4/3(pi)10^3 V=4188.80cm^
200
Are these shapes similar or not similar? Rectangle 1= length-12 width-16 height-4 Rectangle 2= length-9 width-12 height-3
16/12= 1.3 12/9 = 1.3 4/3= 1.3 Yes they are similar
200
The scale factor is 67/100, what is the volume?
67^3 is 300763 100^3 is 1000000 so the volume is 300763/1000000 meters^2
300
What is the formula for finding surface area for a cone?
S=(π)R(slant height)+(π)R^2
300
What is the surface area of a cylinder with a radius of 13 and a height of 40mm?
S=2(pi)13^2+2(pi)13(40) S=4326.92mm^2
300
What is the volume of a cylinder with a radius of 13 and a height of 40mm?
V=(pi)13^2(40) V= 21226.4mm^3
300
Are these shapes similar or not similar? Rectangle 1=width-4 length-8 height-2 Rectangle 2=width-2 length-4 height-2
8/4 = 2 4/2 = 2 2/2 = 1 Not similar
300
The scale factor is 75/100, what is the volume?
75^3=421875 100^3=1000000 The volume is 421875/1000000
400
What is the formula for finding volume for a pyramid?
V=1/3(B)(H)
400
What is the surface area of a triangular prism with a height of 15 and base of 30cm?
A=1/2(B)H A= 1/2(30)(15) A=225cm^2 P=30/3= 10 S=(15)(10)+2(225) S=600cm^2
400
What is the volume of a triangular prism with a height of 15 and base of 30cm?
V=BH V=15(30) V= 450cm^3
400
All are Similar Are these three shapes similar or not similar? Rectangle 1= length-6 width-3 height-3 Rectangle 2= length-4 width-2 height-2 Rectangle 3= length-12 width-6 height-6
6/4 = 1.5 3/2 = 1.5 3/2 = 1.5 12/4=3 6/2=3 6/2=3 All are Similar
400
The scale factor is 92/100, what is the surface area?
92^2=8464 100^2=10000 The surface area is 8464/10000
500
What is the formula for finding surface area for a Right Prism?
SA= HP+2B
500
What is the surface area of a cone with a diameter of 60mm and slant height of 57mm?
SA=(pi)rl+(pi)r^2 60/2 SA=(pi)30(57)+(pi)30^2 SA=8199.56mm^2
500
V=1/3(pi)R^2(h) V=1/3(pi)30^2(57) V=53721.23mm^3
What is the volume of a cone with a diameter of 60mm and height of 57mm?
500
Are these two shapes similar or not similar? Rectangle 1= length-15 width-15 height-2 Rectangle 2= length-20 width-35 height-3 Rectangle 3= length-30 width-40 height-15
15/20 = 3/4 15/35 = 3/7 2/3 = 2/3 30/20=3/2 40/35=8/7 15/3=5 Not similar
500
The scale factor is 99/100, what is the surface area?
The volume is 9801/10000 99^2= 9801 100^2=10000
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