Posts tagged three-dimensional geometry
Nets, volume, and surface area of prisms

In this lesson we’ll look at an introduction to three-dimensional geometric figures, specifically nets, volume, and surface area of prisms. We want to be able to find the net and calculate the volume and surface area for different types of prisms, like rectangular, triangular, etc.

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Surface area to volume ratio of prisms

The ratio of the surface area, S, to the volume, V, can be expressed as a fraction S/V, or converted to a decimal. In order to find the ratio of the surface area to the volume, we have to first find the surface area of the prism and the volume of the prism.

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Finding nets, volume, and surface area of cylinders

A right circular cylinder (the only kind of cylinder we’re dealing with in this lesson) has a pair of parallel, congruent circular bases. We only need a few pieces of information about the net, or volume, or surface area, in order to find the rest of the values for the cylinder.

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Finding the volume and surface area of a sphere

In this lesson we’ll look at the volume and surface area of spheres. A sphere is a perfectly round ball; it’s the three-dimensional version of a circle. There are specific formulas we need to use to find the volume of a sphere and the surface area of a sphere.

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Finding the diagonal of a right rectangular prism

The diagonal of a right rectangular prism goes from one corner of the prism, across the interior volume, all the way to the opposite corner of the prism.

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