EQ: Tuesday, November 29, 2023

• How do I use a basic formula to find the volume of

any prism, pyramids, and cones?

Prisms

a three-dimensional solid object in which the two ends are identical polygons called its bases
Its bases are connected by rectangles called faces.

Prisms are named by the shape of its bases.

​There are 2 identical rectangles connected by rectangles.

​There are 2 identical trapezoids connected by rectangles.

​The volume of a 3-dimensional solid would be like the area of one slice of bread multiplied by the number of slices in the loaf.

​The volume of a prism is the area of its base x the distance between the bases.

(​area of base)(height)

Find the volume of this prism.

​The volume of a pyramid is one-third of the volume of the box it fits in.

​The volume of a pyramid is one-third of the volume of the box it fits in.

​Basic Volume Formula for Rectangular Pyramids

​Basic Volume Formula for Rectangular Pyramids

Find the volume of the rectangular pyramid.

Volume = (⅓)(10m ✕ 6m)(9m)

Volume = 180 cm3

Basic Volume Formula for Cone

Volumecone =1/3 Volumecylinder

Basic Volume Formula for Cone

Volumecone =1/3 Volumecylinder

Basic Volume Formula for Cone

Areacircle = πr2 = π(10m)2

= 100π m2

Volume = (⅓)(100π m2

✕ 20m)

Volumecone =1/3 Volumecylinder

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