Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume(ACMMG198)

LO:To calculate the volumes of rectangular/triangular prisms.

Know:

  • the dimensions/properties of 3-D prisms (length, width, height)

Understand:

  • That formulas exist to find the volume of prisms.

Do:

  • I can find the volume of prisms.

Volume of Rectangular Prisms

Finding the volume of rectangular prisms is fairly easy, all you have to do is multiply the length by the width by the height

Formula for the volume of a rectangular prism: L x W x H


 

Volume of Triangular Prisms

Finding the volume of triangular prisms is fairly easy, it’s similar to finding the volume of rectangular prisms, but you just have to find the area of the triangle then multiply it by the length.
Formula for the volume of a triangular prism: 1/2 x b x h x l

Volume of all Prisms

To find the volume of any prism all you have to do is follow the formula: area of base multiplied by the length.

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