Similar Solids

112

The radio of the volume of two similar solids is 64:729. If the surface area of the larger solid is 567 square kilometers, find the surface area of the smaller solid.

1809

The ratios of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67 cubic cm, find the volume of the larger cylinder.

7:10

The volume of Solid A is 171.5 cubic meters and the volume of Solid B is 500 cubic meters. If the solids are similar, find the scale factor of Solid A to Solid B.

216:125

Two prisms are similar. One with height of 18mm and the other with a height of 15mm. Find the volume ratio of the larger prism to the smaller prism.

2:7

Cone A and Cone B are similar. Cone A has a surface area of 52 and Cone B has a surface area of 637. Find the ratio of the slant height of Cone A to Cone B.

387

Cone A and Cone B are similar. The radius of Cone A is 5.4 feet and the radius of Cone B is 16.2 feet. If the surface area of Cone A is 43 square feet, find the surface area of Cone B.

1:125

Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.

729:8

Prism A is similar to Prism B. The ratio of the surface area of Prism A to Prism B is 81:4. Find the volume ratio.

52

Pyramid A and Pyramid B are similar. The volume of Pyramid A is 448 cubic inches and the volume of Pyramid B is 189 cubic inches. If the height of Pyramid B is 39 inches, find the height of Pyramid A.

1875

Solid A and Solid B are similar. The surface area of Solid A is 675 square meters and the surface area of Solid B is 432 square meters. If the volume of Solid B is 960 cubic meters, find the volume of Solid A.

16:9

The height of Cylinder A is 32 feet and the height of Cylinder B is 24 feet. If the cylinders are similar, find the surface area ratio of Cylinder A to Cylinder B.