Construction Math Free Test

Since a post is needed for every four feet of fencing, divide the number of feet of fencing, f, by four to find the number of posts needed. The expression is f/4.

Replace n with 3. Complete the multiplication: $30 x 3 = $90. Her fee is $90.

The total number of pieces can be represented, 6x + 3x +x = 1,400 because of the ratio that is held. 6x represents the number of 6-foot pieces, 3x represents the number of 6-foot pieces, and x represents the number of 12-foot
pieces. Combine like terms to get, 10x = 1,400, sox = 140.
Therefore, there are 3(140) = 420 eight-foot pieces.

The volume of a cylinder is the area of the base, a circle, times its height. The diameter is 4 ft. so the radius is 4 ft./2 = 2 ft. The area of the base is pi times r(2), or approximately 3.14 x (2 ft) (2) = 12.56 sq.ft. The volume = area of base x height = 12.56 sq. ft. x 10 ft = 125.6 cu.ft.

A circle will provide the largest area. In order to find the area of the circle, you must find the radius using the circumference
(perimeter), which is 12.73 ft,
C = 3.14x2xr,80 = 3.14x2xr;
r = 12.
73. The area of a circle is calculated by A=3.14r(2), giving a total of 509.8 sq. ft. If a square shape were built, the sides would be 20 x 20 (8% = 20) giving an area of only 400 sq. ft., 20 x 20 = 400. Playing around with numbers for a rectangle will show that the area would not be able to exceed the circle.

Note: m2 = sq. meter. The pebble walkway is acting like a border around the pool. There is now a larger rectangle around the pool with an additional 5 m on each side, 2.5 + 2.5 = 5. If you find the area of the larger rectangle and subtract away the area inside,
you are left with the area of the border. It is almost like cutting out the middle of the big rectangle. The area of the large rectangle is: 3,400 m2, |xw = A, 85x40 = 3,400. The area of the pool is only 2,800 m2,80 x 35 = 2,800. Subtract the two areas to find that the is 600 m2,3,400-2,800 = 600.

1. Convert feet to inches. Multiply 18' x 12" = 216"
2. Divide by 12" o.c.
216" / 12 = 18
3. Add 1 (for the end)
18 + 1 = 19

There is $15,000 to invest, 40% of which is invested at 12%; 40% of $15,000 is $6,000,.
40 x 15,000 = 6,000, so the remainder of the money is $9,000, $15,000 - $6,000 = $9,000. To find the interest made, multiply the money invested by the rate that is given. For the $6,000 the rate is 12%, so the money returned is $720, .12 x $6,000 = $720, and for the $9,000 the rate is 7%, so the money returned is $630, .07 x $9,000 = $630.

To convert inches into feet you must divide by 12 because there are 12 inches for every foot, 274.%2 = 22.9; 22.9 ft.

Use the conversion to calculate; if 1 lb = 16 oz, then multiply 34 by 16 to find the total number of 544 oz, 34 x 16 = 544. If each nail weighs 1 oz, there are 544 nails in a 34 lb box.

Volume is calculated by multiplying the length, height, and width together. The new length is 10 16 - 3 - 3 = 10. The height is
determined by the squares that are removed, 3". The volume is 300 in3,3x 10x 10 = 300.

1. Convert the radius from inches to feet
The radius equals 6”
Divide 6 by 12 to get feet.
6/12 = 0.5 feet
2. Next, find the amount needed for 1 bollard in cubic feet
Use the formula for the Volume of a Cylinder (Pie x radius squared x height)
V = 3.14r² x H
V = 3.14 x .5’ x .5’ x 5 = 3.925 cf
Round up to 3.93 cf
3. Find the total amount needed for all 50 bollards.
Multiply the amount for 1 cubic foot by the quantity of bollards needed 3.39 x 50 = 196.5 cf

The water heater is marked up 15% from $1,850, $1,850x 1.15 = $2,127.50,
and then discounted 25%, $2,127.50 x 75 = $1,595.63. The last piece is to add the tax, $1,159.63 x.065 = $103.72, To the total price, $1,595.63 + $103.72 = $1,699.35.

1. Convert the thickness from inches to feet. 8”/12 = 0.67’
2. Find the area of the pad.
Use the formula: L’ x W’ x D’ / 27 = CY
18 x 10 x .67 /27 = 4.46666 CY

The guests are refunded $13.20, which means it must be subtracted from their bill, $168.50 - $13.20 = $155.30; $155. 30 is the new charge.