9. Measurement: SA and Vol

Grade 7 – Measurement (Surface Area and Volume)

By the end of this unit, I will be able to;

· Sketch different prisms that share the same volume

· Solve problems that require conversion of units

· Calculate the volume of right prisms (rectangular prism and triangular prism)

· Calculate the surface area of right prisms

Important points to note:

· There are a few different ways to calculate (and show your work) the area of a prism. 11.1 in the textbook shows one way (using a net, or breaking the shape into pieces).

· You can also calculate the surface area of a right prism by using a formula.

· The textbook only contains surface area and volume of rectangular prisms

Geometric measurement

1. AA.1 Perimeter

1. AA.2 Area of rectangles and parallelograms

1. AA.3 Area of triangles

1. AA.4 Area of trapezoids

1. AA.5 Area with mixed numbers

1. AA.6 Area and perimeter: word problems

1. AA.13 Volume

1. AA.14 Surface area

1. AA.15 Perimeter, area and volume: changes in scale

Formulas to remember:

Rectangular prism

SA = 2Lw + 2Lh + 2wh

Triangular prism

SA = bh + (s+s+s)xH (where H stands for the height of the entire prism…how far the two triangles are away from each other).

Any prism MAGIC FORMULA

SA = 2B + hp

Surface area of the base + height of the prism times the perimeter

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