Question

Suppose the wall is expanded to be 12 feet high by 12 feet wide, and the window is expanded to be 4 feet high by 4 feet wide. How will this change the volume of the wall?

Answer 1

Answer:

Volume of wall volume of window

Step-by-step explanation:

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Answer 2

Answer:

• Area of the floor or ceiling: Multiply the length by the width (10 feet x 12 feet = 120 square feet of area).

• Area of a wall: Multiply the width of the wall by its height. So one of the walls is 80 square feet (10 feet wide x 8 feet high) and the other is 96 square feet (12 feet x 8 feet). If you need the total square footage of the walls - for figuring paint or wallpaper for example - you can simplify the calculation by first adding all the wall lengths together, then multiplying by the height (10 + 12 + 10 + 12 = 44 x 8 = 352 square feet of total wall area).

• Area in square yards: There are 3 feet in a yard, so there are a total of 9 square feet in a square yard (3 x 3). To calculate the number of square yards in our example room, which you might want to do when ordering carpet, divide the total square footage of the floor by 9 (120 square feet / 9 = 13.33 square yards).

Area of a triangle: If you want to figure out the area of a triangular space, such as a gable end, you need a simple formula: 1/2 x base x height. This means you multiply .5 x the base of the triangle x the height of the triangle. So, if your gable end is 18 feet wide at the base and 6 feet high from the base to the peak, it contains 54 square feet (.5 x 18 feet x 6 feet = 54 square feet).

•Area of a circle: The formula for this is: pi x radius2 (pi = 3.1416). Let's say you have a circular space that's 22 feet across. That distance across is the diameter, and half of that, or 11 feet, is the radius. So the calculation would be : (3.1416 x 11 x 11 = 380.13 square feet).

•Circumference of a circle: The circumference of a circle is the total distance around it, which is often a handy thing to be able to calculate. To do that, you need this formula: pi x diameter. For our 22-foot diameter circle, the circumference would be 69.12 feet (3.1416 x 22).