AREA
SURFACE AREA
VOLUME
SIMILAR SOLIDS
100
What is the formula for area of a parallelogram
A=b*h
100
What is the equation for surface area of a sphere
SA=4pir^2
100
What is the equation for volume of a cone?
V=1/3 pir^2h
100
Two similar solids have a scale factor of 3:4. What is their surface area ratio?
9:16
200
Determine the area of this circle
A=380.13 m3
200
What is the surface area of this figure?
SA=1236 in2
200
Determine the volume of this figure.
V=5575.28 mm3
200
How many times larger is the volume of a cylinder if the radius is multiplied by 5?
25 times bigger
300
Determine the area of this trapezoid
A=82.5 mm2
300
Determine the surface area of this figure.
SA=724.95 in2
300
Find the diameter of a hemisphere with a volume of 4601.39 m3
d=26 m
300
Cylinder A and Cylinder B are similar. If Cylinder A has a diameter of 24 ft and Cylinder B has a diameter of 30 ft, what is the ratio of the volume of Cylinder A to Cylinder B?
64:125
400
Determine the area of this shape.
A=127.95 ft2
400
Determine the surface area of this figure.
SA=1027.3 ft2
400
Determine the volume of this figure.
V=1575 km3
400
The two triangular prisms below are similar. If the volume of the larger prism is
1029
mm3 determine the volume of the smaller prism.
V= 192 mm3
500
Determine the Area of the shaded region (you can leave your answer in terms of pi)
A=3pi
500
A cone has the equal height and diameter (x). Determine the volume of x that would make the surface area and volume of the cone equal.
x=9.71 or x=3(1+sqrt5)
500
A cone and a sphere have the same radius rrr. The height of the cone is three times the radius of the sphere. If the cone and the sphere together have a combined volume of 500 cubic units, determine the radius r.
r=4.07 units
500
A cone has a radius of 3 meters and a slant height of 5 meters. Determine the amount you would need to increase the height of the cone so that the volume of the new cone equals the surface area of the original cone.
4 meter increase or double the height