2-Dimensional
Random
Word Problems
100
A plane intersects the prism parallel to the base. Which best describes the cross section?
Octagon
100
B) they are equal
100
A box has dimensions 12 in. × 10 in. × 6 in. A new box has dimensions that are half the dimensions of the old box. What is the surface area of the new box, in square inches?
126 square inches
200
What three-dimensional figure would be formed by rotating about the axis of rotation shown:
Cylinder
200
A traffic pylon is shown. What is its volume?
47.12 cm3
200
Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 2,500 cm³ of air?
16.8
300
What three-dimensional figure would be formed by rotating about the axis of rotation shown:
Cone
300
A hemispherical bowl has a diameter of 14 cm.
What is the surface area of the outside of the bowl, in square centimeters? (Express your answer in terms of pi .)
98 pi cm3
300
A stack of one dozen cookies, each with a diameter of 3 inches, exactly fits in a cylindrical container with a volume of 84.8232 in³.
What is the thickness of each cookie?
1 inch
400
A plane intersects a square pyramid perpendicular to the base. What is the cross section?
Triangle
400
A pile of earth removed from an excavation is in the shape of a cone measuring 12 feet high and 18 feet across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 6 cubic yards?
10 trips
400
The height of a pyramid-shaped sculpture with a square base is one half the length of each side of the base. The volume of the sculpture is 972 in³.
What is the height of the sculpture, in inches?
9 inches
500
What is the cross section of this figure?
Trapezoid or Quadrilateral
500
The height of a pyramid-shaped sculpture with a square base is one half the length of each side of the base. The volume of the sculpture is 1,728 in³.
What is the height of the sculpture, in inches?
11 inches
500
A pile of earth removed from an excavation is in the shape of a cone measuring 10 feet high and 20 feet across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 10 cubic yards?
4 trips