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inna [77]
3 years ago
6

A triangular pyramid with a volume of 270 cubic centimeters, a base edge of 15 centimeters, and the height of the base as 4 cent

imeters has a height of____ centimeters.
Mathematics
1 answer:
oee [108]3 years ago
5 0

Answer:

The height of the triangular pyramid is 27\ cm

Step-by-step explanation:

we know that

The volume of a triangular pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the triangular base

H is the height of the pyramid

<em>Find the area of the base B</em>

B=\frac{1}{2}(15)(4)=30\ cm^{2}

we have

V=270\ cm^{3}

substitute and solve for H

270=\frac{1}{3}(30)H

270=10H

H=270/10=27\ cm

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