Volume of a cube : Effect of changing the length of a side

Given a cube with a surface area of 54 square inches. If the length of each side is tripled, the volume of the cube will be: A. increased by six times B. increased by twenty seven times C. tripled D. cannot be determined.............Clearly not this one!!

Obtaining a quadratic equation from a parametric equation and maximizing area

Part (a) gives a parametric equation and says deduce the equation of the line in the form of y = mx + c (easy enough) and to find values where the line crosses the y and x axis. (y = -12x + 18) There is a sketch of a 'left' sided triangle with a shaded area comprising a rectangle and a triangle (or three triangles). We are ...continues

Creative ways to teach surface area and volume.

You are part of a panel of parents, teachers, and administrators working to revise the geometry curriculum for the local high school. On tonight's agenda, you will be brainstorming creative ways to teach surface area and volume. The teachers are especially interested in methods which will help the students connect geometry to li ...continues

Several Geometry problems

(See attached file for full problem description and diagrams) --- Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of ...continues

Review of previous posting

(See attached file for full problem description and diagrams) --- Need help with the following questions. A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high. ...continues

Vertices of a square

Two opposite vertices of a square are P(3, 2) and Q(-5, -10). Find the length of: a) a diagonal of the square b) a side of the square

Find lengths of a square given opposite vertices.

Two opposite vertices of a square are P(3, 2) and Q(-5, -10). Find the length of: a) a diagonal of the sqaure b) a side of the sqaure

Clock problem involving angles

I am studying for a geometry test and am having trouble with a review problem at the end of the chapter. This is not homework. One problem asks the following: At 3:00, the hands of a clock form an angle of 90 degrees. To the nearest second, at what time will the hands of the clock next form a 90 degree angle? I figure t ...continues

Tires : Diameter, Speed, Distance and Tire Wear; The Difference between Trigonometric Equations and Identities

You are interviewing for a position with an association representing the tire industry. The federal government mandates safety testing of all tires manufactured in the United States. Recently there has been concern that the rubber used in the tires could deteriorate while in store inventories. In September 2003, a safety group a ...continues

Equation of a line Given Two Points and Area of a Triangle

a. Find an equation of a stright line passing through the points with coordinates (-1, 5) and (4, -2), giving your answer in the form ax + by + c = 0 , where a, b and c are integers. b. The line crosses the x-axis at the point A and the y-axis at the point B, and the O is the origin. Find the area of the triangle OAB.