Prisms
Cylinders
Pyramids
Cones
Spheres
100
The lateral area of a rectangular prism with a height of 4, length of 4 and a width of 8. The base is not a square.
What is 96 square units?
100
The lateral surface area with a height of 6 yards and a diameter of 10 yards.
What is 60pi square yards? 188.50
100
Olivia prepared a cake in the shape of a regular square pyramid, which has a base of 6 inches 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.
What is 72 sq in?
100
The funnel used to pour oil into automobiles is conical. If the slant of the funnel is 8.5 cm and the area of the base is about 78.5398 square cm, find the lateral area of the funnel in terms of pi.
What is 42.5pi?
100
Find the amount of leather needed to cover a ball 22 cm in diameter.
What is 1520.53
200
The lateral area of a pentagonal prism with side lengths of 4 and a height of 6.
What is 120 sq. units?
200
A cylinder has a lateral area of 150pi square inches and the height is three times the length of the radius. What is the cylinder's height?
What is 15 inches?
200
Find the surface area of a hexagonal pyramid with a height of 8 meters and the sides of the base are 5 meters.
What is 201.4 sq. meters?
200
Find the lateral area of a cone if the height is 12 meters and the slant is 15 meters.
What is 135pi? 424.115 sq. meters
200
Find the surface area of a baseball if its diameter is 6.8 cm.
What is 145.27 sq. cm?
300
The surface area of a hexagonal prism with a sides are 4 inches and the height of the prism is 10 inches.
What is 240 + (2rad(3)*24) = 240 + 48rad(3) = 323.14 sq in?
300
Sophia needs to paint a planter with 20.75 inches diameter and 19 inches in height. Find the lateral area of the planter.
What is 1238.57? 324.25pi
300
Find the surface area of a regular square pyramid with a slant height of 12 ft and a side of the square of 11 ft.
What is 385 sq. feet?
300
The Spire of Dublin in Dublin, Ireland, is an elongated cone with a diameter of 10 ft and a slant of 393 ft. Find the surface area of the cone to the nearest tenth.
What is 6251.8 sq. feet?
300
The human eye is a spherical structure about 22 mm in diameter. Find the surface area of the eye.
What is 1520.53
400
Name the prism that is drawn on the board.
What is an trapezoidal prism?
400
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.
What is 1728pi? 5428.67
400
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 lateral area of the pyramid.
What is 269265 sq. feet?
400
A traffic cone has a base diameter of 12 inches and a slant of 32 inches. Find the lateral area of the cone.
What is 1206.37 sq. inches? 384pi?
400
The surface area of a sphere is is 682pi sq inches. Find the circumference of the sphere.
What is 82.04 inches?
500
Find the surface area of the trapezoidal prism on the side board.
What is 408 square inches?
500
A silo is a cylindrical structure with a hemisphere on top commonly used for bulk storage of grain, coal, cement, carbon black, wood chips, or sawdust. The surface of a silo with a diameter of 60 ft and height of 150 ft needs to be painted. Find the surface area of the silo (minus the base) to the nearest tenth.
What is 10800pi? 33929.2
500
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 surface area of the two models.
What is 22.45 sq. inches?
500
The surface area of a cone is 300.652 inches squared and the radius is 4 inches. What is the slant of the cone?
What is 19.93 inches?
500
Some racquetballs 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 surface area of the racquetballs in one container.
What is 47.71 sq. inches?
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