The volume of a cubic storage bin is (125x 3 – 64) m 3 . Express the volume in factored form.

A 5-inch by 7-inch picture is surrounded by a frame of uniform width. The area of the picture and frame together is 80squareinches. Find the width of the frame.

When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What is the length of each edge of the original cube?

Find the largest area possible if the association has 1200 feet of fencing available.

In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute. (a) Determine the ventilation rate per child in a full classroom. (b) Estimate the air space required per child. (c) Determine the minimum number of square feet of floor space required for the room when the ceiling height is 30 feet.

One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions of the rectangle.

A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.

Find the volume of the frustum of a right circular cone with a 155.68-centimeter radius base and a 126.98-centimeter radius base. The frustum height is 24.52 centimeters. Round the answer to the nearest hundredth cubic meter.

The total amount of stock milled off an aluminum casting in two cuts is 8.58 millimeters.The roughing cut is 6.35 millimeters greater than the finish cut. What is the depth of the finish cut?

A beach tent is designed so that one side is open. Find the number of square feet of canvas needed to make the tent.