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slavikrds [6]
3 years ago
13

What is the volume of the triangular prism?

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0
<h3 /><h3><u>▄▄▄▄▄▄▄▄▄▄▄▄</u><u>▄▄▄▄▄</u></h3><h3><u>Given :</u></h3>
  • Base (b) = 5.4 cm
  • Height (h) = 3.2 cm
  • Length (l) = 6 cm

<h3><u>To Find : </u></h3>
  • Volume of the Triangular Prism

<h3><u>Formula used : </u></h3>
  • ½ × b × h × l

<h3><u>Solution :</u></h3>

Volume of Triangular Prism = ½ × b × h × l

= ½ × 5.4cm × 3.2 cm × 6 cm

= ½ × 5.4 cm × 3.2 cm × 3 cm

= 1 × 5.4 cm × 3.2 cm

= 17.28 cm³

<h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
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I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is f(x) = \frac{4}{x},  \ \ g(x) = x^2+9

Another possible answer is f(x) = \frac{4}{x+9}, \ \ g(x) = x^2

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

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In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

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Alternatively,
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If  you're good with multiplication and division,
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