Day 7 Notes Volume of Pyramids & Cones

Directions: Name each pyramid. Then describe the shape of each cross section.

Name: _________________________ Name: ____________________________ Name: _________________________

Cross Section: ________________ Cross Section: ___________________ Cross Section: _________________

Think-Pair-Share: Which example above is different from the other two? Justify your answer.

Complete the Statement: When the cross section of a pyramid is drawn parallel to the base, then the cross

section is…

How is this similar to cross sections in prisms? How is it different?

Volume of Volume of a Pyramid a Cone 1) Find the volume of the cone. 2) Find the volume of the regular (The picture is not drawn to scale!) . hexagonal pyramid.

16

120º

14

24

3) Find the volume of the following pyramids given: a) a rectangular pyramid with length 11 m, b) a square pyramid w/ base perimeter of 36cm width 18m, and height 23 m and height 14 cm

4) Find the volume of the following cones given: a) a cone with a radius of 7 cm and a height b) a cone with a base circumference of 25 and of 15 cm a height 2 inches more than twice the radius.

5) Find the volume of the regular based pyramid below. 6) Find the volume of the cone shown below.

7) Find the total volume of the figure below. 8) Find the volume of a regular pentagonal pyramid. With a height of 36 in and a base edge of 8 in.

HW: page 761 #2, 3, 6, 7, 12, 23, 34, 38

12

10

20

24

13

5 26