Prisms
The SA of this rectangular prism with a height of 8, length of 8 and a width of 8.
The lateral surface area with a height of 6 yards and a diameter of 10 yards.
188.5
Olivia prepared a cake in the shape of a regular square pyramid, which has a base and slant height of 6 inches. She wants to sprinkle chocolate flakes over the lateral faces of the cake. Find the lateral area of the cake.
72
The funnel used to pour oil into automobiles is conical. If the height of the funnel is 8.5 cm and the area of the base is about 79 square cm, find the volume of the funnel.
223.8
Find the amount of leather needed to cover a ball 22 cm in diameter.
1520.5
The lateral surface area of a pentagonal prism with side lengths of 5,5,4,4,3 and a height of 6.
126
A landowner digs a 15-meter-deep well with a diameter of 2.8 m. Find out how much water can fill the well.
92.4
Find the volume of a rectangular pyramid with a height of 20 meters and the sides of the base are 30 meters and 24 meters.
4800
Find the lateral area of a cone if the height is 12 meters and the slant height is 16 meters.
532
Find the volume of a baseball if its diameter is 6.8 cm.
164.6
The surface area of a right triangular prism with a base of 6 and a height of 5 and the height of the prism is 8.
180.5
Sophia needs to paint a planter with 20.75 inches diameter and 19 inches in height. Find the lateral area of the planter.
1238.6
Find the surface area of a regular pyramid with a height of 12 ft and a side of the square of 11 ft.
411.4
The Spire of Dublin in Dublin, Ireland, is an elongated cone with a diameter of 10 ft and a height of 393 ft. Find the lateral area of the cone.
6173.7
The human eye is a spherical structure about 22 mm in diameter. Find the surface area of the eye.
1520.5
A fish tank is in the shape of a rectangular prism. The height of the tank is 18 in. The width of the tank is 17 in. The length of the tank is 38 in. Find the amount of water the tank can hold to the nearest gallon. (1 gallon = 0.134 sq ft)
50.2 gallons
A road roller is a vehicle with smooth and heavy rollers for compacting roads and pavement. If one of these rollers has a diameter of 48 inches and is 36 inches in length, then find the area covered by the roller in one full turn.
5428.7
The Transamerica Pyramid is the tallest skyscraper in San Francisco. It has a slant height of 856 ft and has a square base of about 145 ft on each side. Find the volume of the pyramid.
5977577.3
A traffic cone has a base diameter of 12 inches and a slant height of 32 inches. Find the volume of the cone.
1185
The surface area of a sphere is is 682pi sq inches. Find the volume of the sphere.
9325.6
The volume of a triangular prism with the triangle having sides of 6,6, and 6 and a height of 12.
187.1
A silo is a cylindrical structure commonly used for bulk storage of grain, coal, cement, carbon black, wood chips, or sawdust. The lateral surface of a silo is 28,274.3 ft^2 with a diameter of 60 ft . Find the height of the silo to the nearest tenth.
150
Amy and Alex are making models for the science project. Both the models are in shapes of square pyramids. The length of the sides of the base for both models is 8 inches. Amy's model is 5 inches tall and Alex's model is 3 inches tall. Find the difference in volumes of the two models.
42.7
Find the volume of a cone with a slant height of 37 meters and a diameter of 24 meters.
5277.9
Some racquet balls are sold in cylindrical cans of three balls. Each ball has a diameter of 2.25 inches. The can has a diameter of 2.25 inches and is 6.75 inches tall. Find the volume of the empty space in the can.
8.9