3.4a : Volume of Prisms and Cylinders

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Presentation transcript:

3.4a : Volume of Prisms and Cylinders CCSS: 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 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)

Ex. Finding how much water fits into a pitcher Volume- The amount of space inside of a 3-D object Ex. Finding how much water fits into a pitcher is finding the volume of the pitcher

Area of base Volume of any right Prisms or Cylinder: Height between the bases (altitude) Area of base

Find the volume

Answer The bases are trapezoids (22) (h) = (22)(7) = 154 ft3

Find the Volume

Answer: V= Bh B = Area of the Triangle (base)

Find the Volume of the Cylinder

Answer: V= Bh Find the Volume of the Cylinder

The surface area of a cylinder is 140 square mm. The radius of the cylinder is 3 mm. What is the volume of the cylinder?

The surface area of a cylinder is 140 square mm. The radius of the cylinder is 3 mm. What is the volume of the cylinder? Answer: Need the height, go back to SA info

If the side of a cube is doubled, what happens to the volume?

Find the volume of the steel I-Beam

Find the volume of Toilet paper left on the roll

Home Depot claims this Shed has over 50 cubic feet of storage area. Is this a correct statement? [ 1 ft = 12 in] [ 1 sq foot = 144 sq inches] [1 cubic ft = 1,728 cubic inches]

Find the Volume

Homework