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Formula Fun Worksheet

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Formula Fun Worksheet

Use the formula reference to solve each problem. Show your calculations and include the correct units. Use π ≈ 3.14 when needed.

Area and Perimeter

Reference: Rectangle area = length × width. Rectangle perimeter = 2 × length + 2 × width. Triangle area = ½ × base × height. Circle area = π × radius².

1.A rectangular dog park is 36 yards long and 22 yards wide. What is its area?

2.A rectangular patio measures 18 feet by 11 feet. How many feet of edging are needed to go all the way around it?

3.A triangular banner has a base of 14 inches and a perpendicular height of 8 inches. Find its area.

4.A round table has a radius of 5 feet. What is its area to the nearest hundredth of a square foot? Use π ≈ 3.14.

5.Which formula gives the area of a rectangular tabletop with length l and width w?

2l + 2w
l × w
½ × l × w
l × w × h

Volume and Surface Area

Reference: Rectangular prism volume = length × width × height. Rectangular prism surface area = 2(lw + lh + wh). Cylinder volume = π × radius² × height.

6.A storage crate is 9 inches long, 5 inches wide, and 4 inches high. What is its volume?

7.A closed rectangular gift box is 8 inches long, 3 inches wide, and 2 inches high. Find its total surface area.

8.A cylindrical water bottle has a radius of 3 inches and a height of 10 inches. Find its volume using π ≈ 3.14.

9.Select every measurement needed to calculate the volume of a rectangular prism.

Length
Width
Height
Diagonal

10.An aquarium is 30 inches long, 14 inches wide, and 12 inches tall. What volume of water can it hold when filled to the top?

Algebraic Formulas and Challenge

Reference: Distance = rate × time (d = rt). Simple interest = principal × rate × time (I = prt). Fahrenheit = (Celsius × 9/5) + 32.

11.A delivery van travels at 48 miles per hour for 2.5 hours. Using d = rt, how far does it travel?

12.Andre deposits $800 in an account earning 3% simple interest per year. How much interest will the deposit earn in 5 years? Use I = prt and write 3% as a decimal.

13.The temperature is 20°C. Use F = (C × 9/5) + 32 to convert it to degrees Fahrenheit.

14.A runner moves at a steady rate of 8 miles per hour and needs to cover 28 miles. Use d = rt, rearranged to find t, to calculate the travel time.

15.A rectangular room is 14 feet long and 10 feet wide, with walls 9 feet high. Find the combined area of the four walls only. Show how you use the room's dimensions.