Math Review Basics

Using Multiplication and Division

Division 80 ÷ 5 = 16 Also written as:

Multiplication and Division 6 x 5 x 4 = x 6 x 5 = ÷ 5 x 4 = ? 10 ÷ (5 x 4) = 1/2 (10 ÷ 5) x 4 = 8 (10 x 4) ÷ 5 = 8

Multiplication and Division 0.56 x 0.35 = ? 0.56 x 0.35 = ÷ 0.35= ? 0.56 ÷ 0.35 = x = ÷ = ÷ 0.56 =

Multiplication and Division What is 6 feet 3 inches in feet? 1 foot = 12 inches 3 inches = 3 ÷ 12 = 0.25 feet = 6.25 feet

Area Calculations For Squares and rectangles the area (A) is equal to length (L) x width (W) or A = L x W Length Width

Area Calculations A = L x W Square L = W = 3 Length = 3 Width = 3 3 x 3 = 9 Square Something

Area Calculations For Squares and rectangles the area (A) is equal to length (L) x width (W) or A = L x W Length = 3 feet Width = 6 feet 3 inches

Area Calculations For Squares and rectangles the area (A) is equal to length (L) x width (W) or A = L x W Length = 3 feet Width = 6 feet 3 inches = A = L x W = 3 x 6.25 = square feet 6 + (3 ÷ 12) = 6.25 feet

Area of a Circle A = 3.14 x R x R Radius = R Diameter = 2 x R

Area of a Circle A = 3.14 x R x R Radius = ½ D = 4 inches Diameter = 8 inches A = 3.14 x 4 x 4 A = square inches

Area of a Circle A = square inches 12 x 12 = 144 A in square inches = A in square feet ÷ 144 = ? …

Measuring Surface Area

Area of a Triangle For any triangle with a right angle the area is the length multiplied by the width (of the two legs meeting at the right angle) divided by 2.

Area of a Right Triangle For any triangle with a right angle the area is the length multiplied by the width (of the two legs meeting at the right angle) divided by 2.

Area of a Right Triangle For any triangle with a right angle the area is the length multiplied by the height of the two legs where the right triangle is divided by o 90 o = right angle

Area of a Triangle For any triangle with a right angle the area is the length multiplied by the height of the two legs where the right triangle is divided by o Length Width

Area of a Triangle Length times width divided by o Length Width

Area of a Triangle Length times width divided by o Length 8’ Width 14’

Area of a Triangle Length times width divided by 2. 8 X 14 ÷ 2 = 56 Sq. Ft. 90 o Length 8’ Width 14’

Area of a Triangle A = h b X b ÷ 2

Area of a Triangle A = h b X b ÷ 2 90 o hbhb

Area of a Triangle A = h b X b ÷ 2 90 o b hbhb

Area of a Triangle A = h b X b ÷ 2 = 90 o b = 14’ h b = 6’ A = 6 X 16 ÷ 2 = 48 Sq. Ft.

Area of a Triangle Calculate the wall area for the following drawing: 8.0 ft ft 3.66 ft

Area of a Triangle Calculate the wall area for the following drawing: 8.0 ft ft 3.66 ft 8.0 ft X ft = 150 ft 2

Area of a Triangle Calculate the wall area for the following drawing: 8.0 ft ft 3.66 ft 3.66 ft X ft ÷ 2 = 34.3 ft 2 hbhb b

Area of a Triangle Calculate the wall area for the following drawing: 8.0 ft ft 3.66 ft 34.3 ft ft 2

Area of a Triangle Calculate the wall area for the following drawing: 8.0 ft ft 3.66 ft 34.3 ft ft ft ft 2 = ft 2

Measuring Areas in Cubic Feet

Step 1 Finding the Area/Volume in Cubic Feet Calculate the wall area for the following drawing: 8.0 ft ft 3.66 ft 34.3 ft ft ft ft 2 = ft 2

Step 1 Finding the Area/Volume in Cubic Feet Calculate the wall area for the following drawing: 8.0 ft ft 3.66 ft 34.3 ft ft ft ft 2 = ft 2

Step 2 Find the Length ft 2

Step 2 Find the Length 40.3 ft ft 2

Step 3 Multiply Area X Length 40.3 ft ft 2 X 40.3 ft = 7, ft 3

Area/Volume in a Ball Volume of a sphere is 4/3 πR 3

Area/Volume in a Ball Volume of a sphere is … πR 3

Area/Volume in a Ball What is the area in cubic feet of a dome 20 ft high with a 40 ft. width across it? 40 ft. 20 ft.

Area/Volume of a Sphere What is the area in cubic feet of a Spherical dome with a 40 ft. width across it? 40 ft. Volume = 1.33πR 3 ÷ 2

CUBE R 3 ? R = 20 R 3 = 20 X 20 X 20 = 8,000

Area/Volume in a Ball What is the area in cubic feet of a dome with a 40 ft. width across it? 40 ft. Volume = 1.33πR 3 ÷ 2 V = 1.33 X 3.14 X

Area/Volume of a Sphere What is the area in cubic feet of a dome with a 40 ft. width across it? 40 ft. Area = 1.33πR 2 ÷ 2 A = 1.33 X 3.14 X ,704.8 Ft 3

Cubic Feet ? 25 ft.

Cubic Feet ? 25 ft. 10 ft.

Cubic Feet ? 25 ft. 10 ft. 30 ft. 23 ft.

Cubic Feet ? 25 ft. 10 ft. 30 ft.

Cubic Feet ? 25 ft. 10 ft. 30 ft.

Cubic Feet ? 25 ft. 10 ft. 30 ft.

Cubic Feet ? 25 ft. 10 ft. 30 ft. [25 ft ft.] ÷ 2 = 17.5 ft 17.5 ft

Cubic Feet ? 25 ft. 10 ft. 30 ft. [25 ft ft.] ÷ 2 = 17.5 ft 17.5 X 30 = 525 ft ft

Cubic Feet ? 25 ft. 10 ft. 30 ft. 23 ft. 525 ft 2 25 ft.

Cubic Feet ? 25 ft. 10 ft. 30 ft. 23 ft. 525 ft 2 25 ft.

Cubic Feet ? 25 ft. 10 ft. 30 ft. 23 ft. 525 ft 2 25 ft. 525 ft 2 X 23 ft. = 12,075 ft 3