Mathematics · Glossary

What is Prism, cylinder?

Also known as: prism · cylinder

Definition 53.7 Primary & Middle School Mathematics · Chapter 53 — Areas and Volumes

A prism is a solid with two identical parallel polygonal faces (the bases) joined by rectangles; a cylinder is the same with disks as bases. The height is the distance between the two bases.

Examples

Example 53.9

A tent is a prism lying on its side: its bases are triangles of base 22 m and height 1.51.5 m, and the tent is 33 m long.

  1. Base area: B=2×1.52=1.5B = \frac{2 \times 1.5}{2} = 1.5 m2^2.
  2. Volume: V=B×h=1.5×3=4.5V = B \times h = 1.5 \times 3 = 4.5 m3^3.

A tin can of radius 44 cm and height 1111 cm: V=π×42×11=176π553V = \pi \times 4^2 \times 11 = 176\pi \approx 553 cm3^3, roughly half a liter.

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