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Areas and Volumes

Areas and Volumes. radius. b. h. h. h. l. b. b. b. diameter. Area = l  b. Area =   r 2. Area = ½ b  h. Circumference = 2 r or = d. Perimeter = 2l + 2b.  = 3.14. Rhombus and Kite. A diagonal is a line which joins a vertex to the opposite vertex.

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Areas and Volumes

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  1. Areas and Volumes radius b h h h l b b b diameter Area = l  b Area =  r2 Area = ½ b  h Circumference = 2r or = d Perimeter = 2l + 2b  = 3.14

  2. Rhombus and Kite A diagonal is a line which joins a vertex to the opposite vertex

  3. Parallelogram Vertical height base

  4. Trapezium b cm h cm a cm

  5. 20cm 12cm Calculate the area of the shape shown below. This shape consists of 2 semi-circles 1 rectangle 2 semi-circles = 1 circle

  6. 24cm 16cm 16cm 20cm Calculate the area of the shapes below. (ii) (i)

  7. Page 136 Exercise 1A Page 137 Exercise 1B Page 138 Exercise 2A

  8. Prisms A prism is a shape that has a constant cross sectional area. i.e. opposite faces are congruent. The cuboid has two cross sectional areas.

  9. Calculate the volume of the tin. 10cm 12cm

  10. Page 141 Exercise 3A Page 143 Exercise 3B Page 145 Exercise 4A

  11. Surface Area of a Cylinder r r h d h r Curved Surface Area = Total surface Area =

  12. Page 147 Exercise 5

  13. 12 12 16 8 48 Tins of soup 12 cm high with a diameter of 8cm are placed in a box. The box is 48cm long, 16 cm wide and 12 cm high. • How many cans will fit in the box? • What is the percentage of space, to the nearest percent not used in the box? We can fit 6 cans along the length of the box, 2 cans along its width and 1 can high.

  14. Now it’s time for you to THINK !! Look at the brainstormer on page 146. Consider the first cylinder. We need the radius in terms of x Now do the same for the second cylinder.

  15. When x = y The same When x = 2y NOT The same

  16. When x = n y NOT The same

  17. y cm c cm b cm b cm a cm x cm a cm Dimensions: Length, Area and Volume Perimeter = P cm (1 dimension) Volume = V cm3 (3 dimensions) Area = A cm2 (2 dimensions) Sum of lengths Product of 2 lengths Product of 3 lengths Page 148 Exercise 6

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