Pre-Algebra Demystified

SOLUTION d¼2r ¼ 2 14 inches ¼28 inches In order to find the circumference of a circle, a special number is used. That number is ...

Find the circumference of a circle whose diameter is 12 inches. Use p¼ 3 :14. Find the circumference of a circle whose radius i ...

SOLUTION A¼lw ¼12 ft6ft ¼72 ft^2 The area of a square can be found by using the formula A¼s^2 , where s is the length of its si ...

The area of a triangle can be found by using the formulaA¼^12 bh, where b is the base and h is the height or altitude. EXAMPLE F ...

EXAMPLE Find the area of the parallelogram shown in Fig. 9-12. SOLUTION A¼bh ¼ 20 yd32 yd ¼640 yd^2 A trapezoid has a height an ...

EXAMPLE Find the area of the trapezoid shown in Fig. 9-14. SOLUTION A¼ 1 2 hðb 1 þb 2 Þ ¼ 1 2 5ftð3 ft+2 ftÞ ¼ 1 2 5ft5ft ¼ ...

SOLUTION A¼pr^2 ¼ 3 : 14 ð5in:Þ^2 ¼ 3 : 14 25 in:^2 ¼ 78 :5in:^2 The following suggestions will help you to convert between un ...

Change 27 square feet to square yards. Change 2 square yards to square inches. ANSWERS 6519 yd^2 2809 in.^2 72 in.^2 220 in.^ ...

The volume of a rectangular solid can be found by using the formula V¼lwh, where l¼the length, w¼the width, and h¼the height. EX ...

The volume of a cylinder can be found by using the formulaV¼r^2 h, where r is the radius of the base and h is the height. EXAMP ...

SOLUTION V¼ 4 3 pr^3 ¼ 4 3  3 : 14 ð2in:Þ^3 ¼ 33 :49 in:^3 (rounded) The volume of a right circular cone can be found by using ...

SOLUTION In this case, the base is a square, so the area of the base is B¼s^2. V¼ 1 3 Bh ¼ 1 3 ð6ftÞ^2 10 ft ¼120 ft^3 Sometim ...

PRACTICE Find the volume of a rectangular solid if it is 8 inches long, 6 inches wide, and 10 inches high. Find the volume of a ...

EXAMPLE How many cubic yards of dirt must be removed from a rectangular found- ation for a house that measures 54 feet by 28 fee ...

square root of a number. The radical sign ( pffiffi ) is used to indicate the square root of a number, so ffiffiffiffiffi 16 p ¼ ...

EXAMPLE Find the length of the hypotenuse of a right triangle if the length of its sides are 5 inches and 12 inches. SOLUTION c¼ ...

PRACTICE Find the length of the hypotenuse of a right triangle whose sides are 24 inches and 18 inches. Find the length of a si ...

(c) 38 in. (d) 76 in. Find the perimeter of a triangle whose sides are 12 yards, 13 yards, and 16 yards. (a) 41 yd (b) 82 yd (c ...

(a) 78 yd^2 (b) 39 yd^2 (c) 756 yd^2 (d) 1512 yd^2 Find the area of a parallelogram whose base is 10 inches and whose height is ...

Find the volume of a rectangular solid whose length is 14 inches, whose width is 5 inches, and whose length is 7 inches. (a) 26 ...