12.5 Volume of Pyramids and Cones

State Standards8, 9: Solve problems involving

the surface area lateral area of geometric solids and COMMIT TO MEMORY THE NECESSARY FORMULAS.

Lesson Goals• Find the volume of a

pyramid and cone.

Cylinder Cone

r

r

h h

V Bh ?V

Volume

Theorems

• Volume of a Pyramid or a Cone

B = the area of the base h = the height/altitude of the pyramid or cone

13V Bh

1 1,1523

V

13V Bh

examplesFind the volume of the pyramid.

3384 inV

13

16 4 2 3 102

V

13V Bh

examplesFind the volume of the pyramid.

4 cm

10 cm

13 24 3 10V

3120 cmV

13 36 10V

13V Bh

examples

6 cm

10 cm

3100 ftV

13 25 12V

13V Bh

examples

examplesSolve for the variable using the given information. Round to one decimal place. 1

3V Bh

examplesSolve for the variable using the given information. Round to one decimal place.

13V Bh

213170 8x

2510 8x

263.75 x

Assignment Checkp. 755: 3, 4, 5, 8, 9, 10, 12, 16, 17, 19,

20, 21