ANNOUNCEMENTS-Pick up your assigned calculator-Take out your HW to be stamped

WARM UP1. Copy the following into your Vocab Section (Purple tab!)• Volume – a measure of the space a figure occupies• Surface Area – the sum of the lateral area and the areas of

the bases • Prism – a 3-dimensional figure with two congruent and

parallel bases• Pyramid – a 3-dimensional figure with one base and four lateral faces with a

common vertex; also called tetrahedron• Cone – 3-dimensional figure that has a circular base, a vertex not in the plane of

the circle, and a curved lateral surface• Cylinder – 3-dimensional figure with two congruent circular bases that lie in

parallel planes• Sphere – the set of all points in space that are given distance r, the radius, from a

given point C, the center2. Update your TOC.

Yesterday’s Exit TicketWrite the standard equation for a circle with the following:1. center (2, 3); radius = 52. center (0,-1); radius =

What is the center and radius of each circle?3. (x – 4)2 + (y – 3)2 = 164. (x + 7)2 + y2 = 10

(x – 2)2 + (y – 3)2 = 25

x2 + (y + 1)2 = 7

center: (4,3); radius: 4center: (–7,0); radius:

HOMEWORK QUESTIONS?

#2 Volume & Surface Area

Homework

• #2 in HW Packet (all – Find the volume of each figure. Only find the surface area when indicated. Round your answer to the nearest tenth. Be sure to include units of measurement in your answers. Use 3.14 for .)

Rectangular Prism

VOLUME

V=𝑙 h𝑤

Like a tissue box!

l = length w = width h = height

)SURFACE AREA

Example 1: Find the volume of a rectangular prism with length 3 inches, width 8 inches, and height 2 inches.

Example 2: Find the surface area of a prism with a right triangular a base of length 21 inches, width of 20 inches and a height of 10 inches.

Square Pyramid

VOLUME

V=13𝑏2h

Like the Great Pyramid of Giza!

b = base h = height s = slant height

S A=2𝑏𝑠+𝑏2SURFACE AREA

Example 3: The Great Pyramid of Giza has a height of 139 meters and a base side of 756 meters. Find the volume.

Example 4: The surface area of a square pyramid is 224 square inches. The sides of the base are 8 inches; find the slant height.

BRAIN BREAK #1

Cone

VOLUME

V=13𝑟2h

Like an ice cream cone!

h

r

r = radius h = height s = slant height

SURFACE AREA

S A=𝑟𝑠+𝑟2

Example 5: Your ice cream cone is 7 inches tall. The diameter of the opening of the cone is 2 inches. How much ice cream can the cone hold if you don’t fill it past the brim?

Example 6: The surface area of a cone is 300π. If the radius is 12 inches, find the slant height.

Cylinder

VOLUME

V=𝑟2h

Like a can of soup!

h

r

r = radius h = height

S A=2𝑟2+2𝑟 hSURFACE AREA

Example 7: The giant can of soup Ms. Santos brought for lunch has a volume of 504cm3 and a diameter of 12 cm. How tall is her can?

Example 8: A can of soup has a diameter of 4 inches and a height of 6 inches. Find the area of the label.

Sphere

VOLUME

The mathematical word for “ball”!

r = radius

SURFACE AREAS

r

Example 9: Calculate the volume of helium needed to inflate a spherical latex balloon with a diameter of 18 inches.

Example 10: The circumference of a baseball is 84 centimeters. Find the surface area of the ball.

Jeopardy!All teams answer the question. Team leader holds up white board when time is called. Points awarded for every right answer. Points deducted for every incorrect answer. 10 College Credits to the winning team!Team 1 – if your # is a multiple of 3

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36Team 2 – if your # is even and NOT a multiple of 3

2, 4, 8, 10, 14, 16, 20, 22, 26, 28, 32, 34Team 3 – if your # is odd and NOT a multiple of 3

1, 5, 7, 11, 13, 17, 19, 23, 25, 29, 31, 35

BRAIN BREAK #2

Homework

• #2 in HW Packet (all – Find the volume of each figure. Only find the surface area when indicated. Round your answer to the nearest tenth. Be sure to include units of measurement in your answers. Use 3.14 for .)

Exit Ticket1. A cone is enclosed inside a cylinder. The cone and the

cylinder have equal bases and equal heights. If the volume of the cone is 30 cm3, what is the volume of the cylinder?