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A right circular cone has a volume of 34,496π cubic centimeters and the area of its base is 3,136π square centimeters. What is the slant height, in centimeters, of this cone?

A cube has a volume of 79,507 cubic units. What is the surface area, in square units, of the cube?

A right circular cylinder has a radius of 18 centimeters and a volume of 1,296π cubic centimeters. What is the height, in centimeters, of the cylinder?

A raised garden is in the shape of a right rectangular prism. Its base has a width of 3 feet and a length of 27 feet, and it will be filled 24 inches high with topsoil. The total cost of the topsoil needed to fill the garden to this height is 288 dollars. What is the unit cost, in dollars per cubic yard, for the topsoil? (1 yard = 3 feet; 1 foot = 12 inches)

A right square pyramid has a total surface area of 56,784 square inches, and the combined surface area of the four lateral faces of this pyramid is 28,560 square inches. What is the height, in inches, of this pyramid?

For the right circular cone shown. B is a point on the circumference of the base, and the length of segment AB (not shown) is 84 centimeters. If the height of the cone is 42 centimeters and the volume of the cone is kπ cubic centimeters, what is the value of k?

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 59 square centimeters (cm²), and the surface area of right rectangular prism Y is 1,475 cm². The volume of right rectangular prism Y is 1,500 cubic centimeters (cm³). What is the sum of the volumes, in cm³, of right rectangular prism X and right rectangular prism Y?

To study fluctuations in leaf water potential, samples of wood were taken from 22 trees cut in the shape of a cube. The length of the edge of one of these cubes is 3.000 centimeters. This cube has a density of 0.250 grams per cubic centimeter. What is the mass of this cube in grams?

For the right circular cone shown, B is a point on the circumference of the base, and the length of segment AB (not shown) is 32 centimeters. If the height of the cone is 16 centimeters and the volume of the cone is kπ cubic centimeters. What is the value of k?

A triangular prism has a height of 3 centimeters (cm) and a volume of 60 cm³. What is the area, in cm², of the base of the prism.?(The volume of a triangular prism is equal to Bh, where B is the area of the base and h is the height of the prism.)

To study fluctuations in leaf water potential, samples of wood were taken from 21 trees and cut in the shape of a cube. The length of the edge of one of these cubes is 3.000 centimeters. This cube has a density of 0.220 grams per cubic centimeter. What is the mass of this cube, in grams?

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 55 square centimeters (cm²), and the surface area of right rectangular prism Y is 880 cm². The volume of right rectangular prism Y is 1600 cubic centimeters (cm³). What is the sum of the volumes, in cm³, of right rectangular prism X and right rectangular prism Y?