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?

The volume of a rectangle box is 144 cubic inches. The height of the solid is 8 inches. Which measurements, in inches, could be the dimensions of the base?

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 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?

A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum of the perimeter of the base of the box and the height of the box cannot exceed 130 inches. The perimeter of the base is determined using the width and length of the box. If a box has a height of 60 inches and its length is 2.5 times the width, which inequality shows the allowable width x, in inches, of the box?

A software company is selling a new game in a standard edition and a collector’s edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector’s edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, s, and collector’s edition games, c, that were ordered?

A small, open-top packing box, similar to a shoebox without a lid, is three times as long as it is wide, and half as high as it is long. Each square inch of the bottom of the box costs $0.80 to produce, while each square inch of any side costs $0.03 to produce. If x represents the number of inches in the width of the box,which of the following functions represents the cost, C, of producing the box?

To ship figurines, the figurines are placed in a rectangular box and then small packing pellets are added. The base of the box has an area of 4.4 in^2 , and the height of the box is 6.5 in. IF the volume of the air in the box after the figures and pellets are added is 8.0in^3 , which of the following is closest to the combined volume of the figurines and pellets in the box?

Barb is going to cover a rectangular area 8 feet by 10 feet with rectangular paving blocks that are 4 inches by 8 inches by 2 inches to make a flat patio. What is the minimum number of paving blocks she will need if all the paving blocks will face the same direction? (Note: Barb will not cut any of the paving blocks.)

A closed rectangular box is made of wood of 1.5cm thickness. The exterior length and breadth are respectively 78cm and 19cm, and the capacity of the box is 15 cubic decimetres. Calculate the exterior height of the box