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Worksheet: Applications of Similarity of Solids
Q7:
A pair of rectangular prisms are similar. Prism is 104 by 32 by 24 inches, while prism is 26 by 8 by inches. Find.
Q8:
A pair of regular triangular pyramids are similar. Pyramid A has a base side of 17 inches and a slant height of 20 inches, whereas pyramid B has a base side of inches and a slant height of 42 inches. Determine the value of .
Q9:
The figure shows two cubes. If the area of the smaller one is 143, and the sides are in the ratio , what is the surface area of the larger cube?
Q10:
A pair of cylinders are similar. Cylinder A has a base radius of 29 inches and a length of 6 inches, and cylinder B has a base radius of inches and a length of 18 inches. Determine the value of .
Q11:
A cone has a volume of 11โ756 cubic centimeters. Suppose that its dimensions were reduced to the current value, find the volume of the resulting cone.
Q12:
The surface areas of two similar solids are 64 square yards and 361 square yards. Find the ratio of their linear measures.
- A
- B
- C
- D
- E
Q13:
A pair of cones are similar. Cone A has a base radius of 17 cm and a slant height of 20 cm, whereas cone B has a base radius of cm and a slant height of 48 cm. Determine the value of .
Q14:
The given pair of rectangular prisms are similar. If the surface area of the smaller rectangular prism is 310 yd2, determine the surface area of the larger one.