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Volume of a Pyramid Archimedes of Syracuse BC The volume of a pyramid is 1/3 the volume of the surrounding prism on the same base. In the special case, when the pyramid is a cone, the surrounding prism is a cylinder.

Volume of a Pyramid Example Questions: Find the volume of the pyramids shown. 4 cm 7 cm 30 cm m 2 6 cm 8.3 cm 3.1 m 5 cm 6 cm 7 cm Not to SCALE

45 cm m 2 9 cm 4.2 m cm 5 cm 6 cm 4 8 cm 9 cm 6.1 cm 3 Volume of a Pyramid Questions: Find the volume of the pyramids shown. (1 dp) Not to SCALE

6 cm Example Questions: Find the volume of the cones below. (to 1 dp) cm Not to SCALE 15 cm 4.8 cm

10 cm Questions: Find the volumes of the cones below. (to 1 dp) m Not to SCALE 19 cm 7.3 m

6 cm Example Questions: Find the unknown in the cones below. (to 1 dp) 3 4 Not to SCALE h cm 4.8 cm r V = cm 3 V = 48.3 cm 3

Worksheet 1 Volume of a Pyramid Example Questions: Find the volume of the pyramids shown. 4 cm 7 cm 30 cm m 2 6 cm 8.3 cm 3.1 m 5 cm 6 cm 7 cm Not to SCALE

Worksheet 2 45 cm m 2 9 cm 4.2 m cm 5 cm 6 cm 4 8 cm 9 cm 6.1 cm 3 Volume of a Pyramid Questions: Find the volume of the pyramids shown. (1 dp) Not to SCALE

Worksheet 3

Worksheet 4 6 cm h cm 4.8 cm r V = cm 3 V = 48.3 cm 3