Day 31 – Surface Area & Volume Analytic geometry for college graduates

Volume of Prisms &Cylinders

VOLUME = the number of cubic units contained in its interior VOLUME has cubic units Cm3, ft3, units3 VOLUME = the number of cubic units contained in its interior

Volume = length•width•height In a CUBE they are all the same The volume of a cube is side3 Volume = s3 4 ft Volume = 43 Volume = 64 ft3

When a prism is NOT a cube… B (area of the BASE) The formula for B will depend on the shape of the base.

Volume Formula for Prisms & Cylinders V = Bh

B = area of the BASE h = HEIGHT Volume of a Prism B = area of the BASE h = HEIGHT 4 in 3 in 2 in V = 12 in3

V = 769.7 cm3 Volume of a Cylinder 7 cm 5 cm Round to the nearest tenth. 7 cm 5 cm V = 769.7 cm3

WS 1 – 5

Volume of Pyramids and Cones

How many cones will it take to fill the cylinder? They have the same size base. They also have the same height.

Volume Formula for Cones & Pyramids

Find the volume. 8 ft 10 ft 12 ft

3 cm What is the volume of this cone? Round to the nearest tenth.

WS 6 – 8

Surface Area and Volume of Spheres

2 Types of Answers Exact Rounded Pi will be in your answer Type the Pi button on your calculator Toggle your answer Do NOT write Pi in your answer Exact Pi will be in your answer

Radius of a Sphere r

If you cut a sphere right down the middle you would create two congruent halves called HEMISPHERES. You can think of the globe. The equator cuts the earth into the northern and southern hemisphere.

Volume of a Sphere

Volume of a Sphere (round to the nearest hundredths) 2 cm

Volume of a Sphere (round to the nearest hundredths) 10 cm

Volume of a Sphere A sphere is inside a cube. The cube has a volume of 27 cm3. Find volume of the sphere. Round to the nearest hundredths.

WS 9 – 16

Homework Worksheet