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Formula Fun Worksheet

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Formula Fun Worksheet

Use the formulas in each section to solve. Show your calculations and include the correct units. For circle and cylinder calculations, use π ≈ 3.14.

Area and Perimeter

Rectangle: A = lw, P = 2l + 2w. Triangle: A = ½bh. Circle: A = πr². Square: P = 4s.

1.A rectangular community garden is 38 feet long and 21 feet wide. What is its area?
2.A rectangular stage measures 27 feet by 16 feet. How many feet of trim are needed to go all the way around its edge?
3.A triangular trail sign has a base of 14 inches and a perpendicular height of 8 inches. Find its area.
4.A round fountain has a radius of 5 feet. Find its area using π ≈ 3.14.
5.A square patio has sides that are each 13 feet long. What is the patio's perimeter?

Volume and Surface Area

Rectangular prism: V = lwh, SA = 2(lw + lh + wh). Cylinder: V = πr²h.

6.A storage bin is 9 inches long, 7 inches wide, and 5 inches tall. What is its volume?
7.A closed rectangular gift box measures 8 inches long, 5 inches wide, and 3 inches high. Find the total area of all its outside faces.
8.A cylindrical drink container has a radius of 3 inches and a height of 8 inches. Find its volume using π ≈ 3.14.
9.An aquarium is 20 inches long, 10 inches wide, and 14 inches tall. How many cubic inches can it hold when filled to the top?

Formulas in Everyday Situations

Distance: d = rt. Simple interest: I = Prt. Celsius to Fahrenheit: F = (9/5)C + 32.

10.A bus travels at 48 miles per hour for 3.5 hours. Using d = rt, how far does it travel?
11.Hannah puts $800 into an account earning 3% simple interest each year. Using I = Prt, how much interest will the account earn in 4 years?
12.The temperature is 25°C. Use F = (9/5)C + 32 to convert it to degrees Fahrenheit.
13.Avery needs enough foil to cover every outside face of a rectangular container. Which measurement should Avery calculate?
  • Volume
  • Total area of all outside faces
  • Perimeter
  • Area of one face
14.A rectangular backyard pool is 32 feet long, 18 feet wide, and 4 feet deep. Calculate its volume, then explain what that number represents.

3 printable pages

  • Formula Fun Worksheet, page 1 of 3: Area and Perimeter

    Page 1

  • Formula Fun Worksheet, page 2 of 3: Volume and Surface Area

    Page 2

  • Formula Fun Worksheet, page 3 of 3: Formulas in Everyday Situations

    Page 3

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