Surface Area and Volume of Prisms, Pyramids, Cones, and Spheres

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

• 2:3

• 4:9

• 3:4

• 64:729

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

Find the volume of this square pyramid.

• 214.8 m³

• 586.7 m³

• 1818.2 m³

• not enough information

Two similar pyramids have slant heights of 6 inches and 12 inches. What is the ratio of the surface area of the small pyramid to the surface area of the large pyramid?( use column :)

Two rectangular prism are similar. The height of the first prism is 6 yards and the height of the other prism is 9 feet. If the volume of the first prism is 810 cubic yards, what is the volume of the other prism?( Type numerical part only)

Two suitcases are similar rectangular prisms. The smaller suitcase is 68 centimeters long,47 centimeters wide, and 27 centimeters deep. The larger suitcase is 85 centimeters long.

B. what is the volume of the larger suitcase? round to the nearest tenth.( Type numerical part only)

Two tents are in the shape of hemispheres, with circular floors. The ratio of their floor area is 9:12.25. If the diameter of the smaller tent is 6 teet, what is the volume of the larger tent? round to the nearest tenth.

Writing in Math: Explain why all spheres are similar.