Learning Task 1: Answer the following:
1. How many pyramids are there in a prism?
2. How many cones are there in a cylinder?
3. How many cone and sphere are there in a cylinder?
4. How many cones are there in a sphere?
5. What unit is used in measuring the volume?
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Answers & Comments
Answer:
1.they are 3D shapes.
A pyramid is a polyhedron for which the base is a polygon and all lateral faces are triangles. In this lesson, we'll only concern ourselves with pyramids whose lateral faces are congruent — that is, they're the same size and shape.
2.exactly (1/3)
Inspect the formulas for volume; they're identical except the cone has a "1/3" factor.
3.sphere is 0 ,cone is exactly 1,cylinder is 2.
A prism has the same polygonal shape on the top as it has on its base. A pyramid has a polygonal shape as its base, and a vertex at the top where all of its triangular-shaped side faces meet.
4.Volume of a Cone vs Cylinder
The volume of a cylinder is: π × r2 × h
The volume of a cone is: 1 3 π × r2 × h
5.The SI unit of volume is the cubic meter (m 3 ), which is the volume occupied by a cube that measures 1 m on each side.
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