#1
Which of the following statements best defines similarity between geometric solids?
#2
If two rectangular prisms are similar, what can we say about their corresponding sides?
#3
If the ratio of volumes of two similar cylinders is 8:27, what is the ratio of their corresponding radii?
#4
Two cones are similar. If the ratio of their radii is 2:3, what is the ratio of their volumes?
#5
If the scale factor between two similar cubes is 3:4, what is the ratio of their surface areas?
#6
If the scale factor between two similar cones is 2:5, what is the ratio of their heights?
#7
If a cube has a surface area of 54 square units, what is the length of one edge?
#8
If two cylinders are similar and the ratio of their radii is 1:3, what is the ratio of their volumes?
#9
If the lateral surface area of a cylinder is 36π square units and its height is 6 units, what is the radius of the cylinder?
#10
If the volume of a cube is 64 cubic units, what is the volume of a cube that is similar to it with a scale factor of 2?
#11
A cylinder has a volume of 125π cubic units. If the cylinder is similar to another cylinder with a scale factor of 2, what is the volume of the second cylinder?
#12
If the ratio of the volumes of two similar spheres is 8:27, what is the ratio of their radii?
#13
If two pyramids are similar and the ratio of their volumes is 1:8, what is the ratio of their heights?
#14
Two rectangular prisms are similar. If the ratio of their volumes is 8:27, and the dimensions of the smaller prism are 2x3x4, what are the dimensions of the larger prism?
#15
If the surface area of a sphere is 144π square units, what is the radius of the sphere?
#16