T Madas The Side or Lateral Face Pyramid

The Side or Lateral Face Pyramid Vertex Height Base © T Madas

The hexagonal base has a side length of 1. 2 m. The height of

0. 6 m 2. 1 m A conservatory has the shape of a pyramid

0. 6 m 3. 7416 m 2 2. 1 m A conservatory has the

Volume of pyramid = 1/3 x base area x height 0. 6 m Volume

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The Side or Lateral Face Pyramid Vertex Height Base © T Madas

Exam Question © T Madas

0. 6 m 1. 2 m c x tan 30° = 0. 6 c 0. 6 tan 30° c x 30° x = tan 30° c opp = tanθ adj x= x ≈ 1. 03923 m A = 1 x 0. 6 x 1. 03923 ≈ 0. 3118 m 2 2 A ≈ 0. 6236 m 2 A ≈ 3. 7416 m 2 © T Madas

The hexagonal base has a side length of 1. 2 m. The height of the pyramid is 2. 4 m. Calculate the volume of the pyramid correct to 3 significant figures. 2. 4 m A pyramid has a base in the shape of a regular hexagon. 3. 7416 m 2 1. 2 m Volume of pyramid = 1/3 x base area x height V = 1 x 3. 7416 x 2. 4 3 = 2. 99 m 3 [ 3 s. f. ] © T Madas

0. 6 m 2. 1 m A conservatory has the shape of a pyramid on top of a prism. The base of the prism and the base of the pyramid are regular hexagons of side length 1. 2 m. The height of the prism is 2. 1 m and the height of the pyramid is 0. 6 m. Calculate the volume of the conservatory correct to 3 significant figures. 1. 2 m © T Madas

0. 6 m 1. 2 m c x tan 30° = 0. 6 c 0. 6 tan 30° c x 30° x = tan 30° c opp = tanθ adj x= x ≈ 1. 03923 m A = 1 x 0. 6 x 1. 03923 ≈ 0. 3118 m 2 2 A ≈ 0. 6236 m 2 A ≈ 3. 7416 m 2 © T Madas

0. 6 m 3. 7416 m 2 2. 1 m A conservatory has the shape of a pyramid on top of a prism. The base of the prism and the base of the pyramid are regular hexagons of side length 1. 2 m. The height of the prism is 2. 1 m and the height of the pyramid is 0. 6 m. Calculate the volume of the conservatory correct to 3 significant figures. 3. 7416 m 2 1. 2 m © T Madas

Volume of pyramid = 1/3 x base area x height 0. 6 m Volume of prism = base area x height 3. 7416 m 2 V 1 = 3. 7416 x 2. 1 m = 7. 8574 m 3 1 x 3. 7416 x 0. 6 V 2 = 3 = 0. 7483 m 3 Total Volume = 8. 61 m 3 3. 7416 m 2 [ 3 s. f. ] 1. 2 m © T Madas