Formulas
What does the b stand for in b x h?
base
Emily is painting one of her living room walls an accent color. The wall is 20 feet by 10 feet. What is the size of the wall?
200 feet2
Amy wants to put in a swimming pool in her backyard and needs to know how much paint to buy. If the dimensions of the pool are 25 feet by 40 feet, how big is the bottom of the pool?
1000 feet2
A triangular shape has a width of 3 units and height of 4 units. What is the area of that shape?
3 x 4 = 12/2 = 6 units2
What does the h stand for in b x h?
height
John wants to put a new wood floor in his kitchen. His kitchen is 16 feet by 12 feet. What is the area of the kitchen floor so he knows how much wood to buy?
192 feet2
The Anderson family is putting a new sandbox in their backyard. The dimensions of the sandbox are 6 feet by 4 feet by 2 feet. What is the volume of the sandbox so the Anderson family will know how much sand to buy?
48 feet3
A rectangular prism has dimensions of: 2 inches, 5 inches, and 9 inches. What is the volume of this figure?
90 inches3
What does this formula help you to find?
b x h
Area of a quadrilateral (square, rectangle, parallelogram)
Jenny wants to put in a salt water aquarium in her house. The aquarium she bought has dimensions of 2 feet by 1 foot by 2 feet. What is the volume of the tank so she knows how much salt to put in with the water she will put in the tank?
4 feet3
Mr. Shockey wants to put in some basketball hoops in an area outside of the school. The sides of the area are 100 ft and 300 ft. What will the area be so that he knows how much concrete to buy?
30,000 feet2
What is the area of a square that is 4 feet by 3 1/2 feet?
14 feet2
What does this formula help you to find?
(b x h) / 2
Area of a triangle
A square room has a width of 10 feet. What is the square footage of flooring needed for that room?
10 x 10 = 100 feet2
The Johnson family wants to put in an outside toy container under their deck in space that is 5 feet by 3 feet by 4 feet. What is the maximum volume that the toy container can be in order to fit in this space?
60 feet3
If the area of a rectangle is 48 feet and one side is 6 feet, what is the length of the other side?
8 feet
What does this formula help you to find?
l x w x h
Volume of a rectangular prism (cube, etc.)
A room has 18 square feet. What length could each side of the room be?
2 x 9
OR
6 x 3
OR
1 x 18
Alex is going to plant new grass and has to buy enough for 36 square feet in area. Each square foot costs 5 dollars. He has 140 dollars. Does he have enough money to buy the carpet needed?
No he needs 5 x 36 = $180
If the volume of a 3D figure is 270 inches2 and two of the sides are 5 inches and 9 inches, what is the length of the third side?
6 inches