A 3-inch-tall rectangular box with a square base is constructed to hold a circular pie that has a diameter of 8 inches. Both are shown below. What is the volume, in cubic inches, of the smallest such box that can hold this pie?

A right circular cone has a volume of 24pi cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?

Sophie has a hard rubber ball whose circumference measures 13 inches. She wants to store it in a box. What is the number of cubic inches in the volume of the smallest cube shaped box with integer dimensions that she can use?

A trapezoid has parallel bases that measure 3 inches and 9 inches and a height that measures 6 inches . What is the area, in square inches , of the trapezoid ?

Ken baked, frosted, and decorated a rectangular cake for the last Math Club meeting. The cake was 3 inches high, 12 inches wide, and 16 inches long. He centrated the cake on a piece of carboard whose rectangular top surface had been covered with aluminum foil, as shown in the figure below. Ken used a piece of cardboard large enough to allow the cardboard to extend 2 inches beyond the cake on all sides. What is the area, in square inches, of the aluminum foil that is exposed on the top surface of the cardboard?

A rectangular box with an open top is constructed from cardboard to have a square base of area x^(2) and height h. If the volume of this box is 50 cubic units, how many square units of cardboard in terms of x, are needed to build this box ?

A sealed cylindrical can holds three tennis balls each with diameter of 2.5 inches. If the can is designed to have the smallest possible volume, find the number of cubic inches of unoccopied space inside the can correct to the nearest tenth of a cubic inch.

A formula for the volume of a right circular cone is V = 1/3 pi r^(2) h , where r is the radius of the base and h is the height of the cone. Using 22/7 as an approximate value for pi , which of the following values is closest to the volume, in cubic inches, of a cone with height 28 inches and radius 6 inches?

A cylinder has a volume of 72pi cubic inches and a height of 8 inches. If the height is increased by 4 inches, what will be the new volume of the cylinder in cubic inches?

The Partside Packing Company needs a rectangular shipping box. The box must have a length of 1 foot, a width of 8 inches, and a volume of at least 700 cubic inches. What is the least number of inches in height of the box such that the height is a whole number?