bell ringer What shape is the base of a cube? Sides?

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Presentation transcript:

bell ringer 3-8-17 1. What shape is the base of a cube? Sides? 2. What shape is the base of a rectangular prism? Sides? 3. What shape is the base of a triangular prism? Sides? 4. What shape is the base of a cylinder? Sides? 5. What shape is the base of a pyramid? Sides? 6. What shape is the base of a cone?

Volume of solids Wednesday, March 8, 2017

volume formulas (make sure they are included in your vocabulary) Cubes, Prisms, and Cylinders  V= Bh Cones and Pyramids  V = 1 3 Bh Spheres  4 3 𝜋𝑟3

(Make sure these are in your Vocabulary) But what’s the “B”??? (Use an “A”.) The formula you use for the “B” (area of the base) depends on which figure is your base. (Make sure these are in your Vocabulary) Circle  A = 𝜋𝑟2 Parallelogram  A = bh Square  A = s2 Triangle  1 2 bh Rectangle  A = lw Trapezoid  A = 1 2 (b1 + b2)h

Examples

More examples If a fish tank holds 756in3 of water and has a length of 1 ft and a depth of 7in, how tall is it? A cone cup for a water dispenser has a height of 10cm. If it holds 53 1 3 𝜋cm3, what is the diameter? A Toblerone chocolate wrapper is 8in long. The base is an equilateral triangle with a side length of 1in. How much chocolate could fit inside if the bar was solid instead of little pyramids?

classwork - if it asks for surface area, only find the volume. Geometry Textbook: p. 747 # 28-33 p. 756 # 20-22 working backwards  p. 776-775 # 17-4 Homework – Volume of solids

exit ticket 1. What formula do you use to find the volume of cubes, prisms, and cylinders? 2. What formula do you use to find the volume of cones and pyramids? 3. What formula do you use to find the volume of spheres?