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Algebra and Measurement Formulae
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Algebra and Measurement Formulae
Substitute values into measurement formulae and rearrange formulae to find an unknown.
Substituting into Measurement Formulae
Show your working and include appropriate units.
1.A rectangular sign is 9 m long and 4 m wide. Use A = lw to calculate its area.
2.A rectangular patio has length 15 cm and width 6 cm. Use P = 2(l + w) to find its perimeter.
3.A box measures 5 m by 3 m by 7 m. Calculate its volume using V = lwh.
4.A circular pond has radius 8 cm. Find its circumference using C = 2πr and π = 3.14.
Rearranging Measurement Formulae
Rearrange each equation as requested. Assume the quantities used as divisors are non-zero.
5.Rearrange A = lw to make w the subject.
6.Rearrange P = 2(l + w) to make l the subject.
7.Rearrange V = lwh to make h the subject.
8.A rectangular deck has area 63 m² and length 9 m. Use a rearranged area formula to calculate its width.
Measurement Problem Solving
Use formulae and algebra to solve each problem. Show the steps in your working.
9.A water tank has a volume of 168 m³. Its base is 12 m long and 7 m wide. Use V = lwh to find the tank’s height.
10.A rectangular community hall has a perimeter of 72 m. Its length is three times its width. Let the width be w metres and find both dimensions.
11.In your own words, explain one way rearranging a measurement formula can help when a measurement is unknown.
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