Solid geometry is concerned with three-dimensional shapes. In this lesson, we will learn
The other faces are in the shape of parallelograms. They are called lateral faces.The following diagrams show a triangular prism and a rectangular prism.
A right prism is a prism that has its bases perpendicular to its lateral surfaces. If the bases are not perpendicular to its lateral bases then it is called an oblique prism.
When we cut a prism parallel to the base, we get a cross section of a prism. The cross section has the same size and shape as the base.
This video demonstrates what is a prism and distinguishes between a right prism and an oblique prism.
The volume of a right prism is given by the formula:
Volume = Area of base × height = Ah
where A is the area of the base and h is the height or length of the prism.
Worksheet to calculate volume of prisms and pyramids.
Find the volume of the following right prism.
Volume = Ah
= 25 cm2 × 9 cm
= 225 cm3
Find the volume of the following right prism
First, we need to calculate the area of the triangular base.
We would need to use Pythagorean theorem to calculate the height of the triangle.
h2 + 32 = 52
Area of triangle =
= × 6 × 4
= 12 cm2
Volume of prism = Ah
= 12 cm2× 8 cm
= 96 cm3
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