Need assistance with the two questions

Name Date Class

lesson

10-2

Volume of Triangular Prisms and Pyramids

Reading Strategies: Build Vocabulary

To solve volume problems with triangular prisms and pyramids, it is helpful to know and use the vocabulary words that refer to the parts of the figures. Notice that both figures have base heights and heights for the figure as
a whole.

Triangular Prisms


The base length and the base height are used to compute the area of the triangular base, B: B base height  base length

The prism length is used to compute the
prism volume, Vprism:

Vprism B  prism length

Triangular Pyramids


The base length and the base height are used to compute the area of the triangular base, B: B base height  base length

The pyramid height is used to compute the pyramid volume, Vpyramid:

Vpyramid B  pyramid height

Calculate the parts and compute the volume.

1. The triangular base of a prism is 10 feet wide and has a height that is half of that. The length of the prism is 4 feet more than the width of its base. Include the units.

Base width: _________ Base height: _________ Base area: _________

Prism length: _________ Prism volume: _________________________________

2. The triangular base of a pyramid has a width that is half of the pyramid height. The pyramid height is four times the height of the base which is 3 meters.

Base width: _________ Base height: _________ Base area: _________

Pyramid height: _________ Pyramid volume: _______________________________


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