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Warmup. 10 in. 5 in. 7 in. 6 in. Find the Volume. 3.4b : Volume of Pyramids and Cones. GSE’s. Primary. M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional figures (including composite figures) or surface area or volume of three. p. 615-620.

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  1. Warmup 10 in 5 in 7 in 6 in Find the Volume

  2. 3.4b : Volume of Pyramids and Cones GSE’s Primary M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional figures (including composite figures) or surface area or volume of three p. 615-620 Secondary M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines, polygons, circles, or right triangle ratios(sine, cosine, tangent) within mathematics or across disciplines or contexts (e.g., Pythagorean Theorem, Triangle Inequality Theorem)

  3. Volume of a right Cone and Pyramid: Distance from the base to vertex Area of Base

  4. Find the volume

  5. Answer Find the volume Not given explicitly, need to find it Use the Pythagorean Theorem

  6. Find the Volume in Cubic Yards [ 1 yd = 3 ft] [ 1 cubic yd = 27 cubic ft]

  7. Solution Find the Volume in Cubic Yards [ 1 yd = 3 ft] [ 1 cubic yd = 27 cubic ft] But…. we want it in Cubic Yards

  8. Find the Volume Of the right pyramid

  9. Solution Find the Volume Of the right pyramid Not Given 3 ft Pyth. Theorem

  10. Find the volume of the rectangular pyramid, whose base length, diagonal of the base and height of the pyramid are 4 cm, 5 cm, and 6 cm respectively.

  11. A glass candle holder is in the shape of a cuboid with a cone removed. The cuboid measures 5cm by 5cm by 7cm. The cone has a diameter of 3cm and a height of 5cm. Calculate the volume of glass in the candle holder. .

  12. What is the maximum amount of grain the silo can hold? 10 ft 40 ft 10 ft The circumference around the silo was approximated to be 63 ft

  13. Homework

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