ANNOUNCEME NTS -Pick up your assigned calculator -Take out your HW to be stamped WARM UP 1.Copy the...
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Transcript of ANNOUNCEME NTS -Pick up your assigned calculator -Take out your HW to be stamped WARM UP 1.Copy the...
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
• #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 .)
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.
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 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.
Example 9: Calculate the volume of helium needed to inflate a spherical latex balloon with a diameter of 18 inches.
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
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 .)