Question

Find the volume of the triangular prism with height=9 cm, base=6cm, and altitude of triangles=8cm

Use: V=Bh

Answer 1

The answer is C

Multiply all of the measurements and divide by 2. Picture cutting the triangle in half from the top point, then use the measurements you have and multiply live it’s a rectangular prism.

Answer 2

The volume of the prism is
`216\,cm^3`

Please notice that the number agrees with the third answer in the list of options, but the list contains errors in the units for the four options listed. Volumes shouldn't have units of square centimeters! there is a type in all the units. the exponent of the cm should be "3" not 2.

Explanation:

Recall that the volume of a prism is given by the product of the area of its base (B) times its height (h) :
`V=B\,h`

In our case, the base of the prism is a triangle of base 6 cm and height 8 cm. Then we can estimate the prism's base using the formula for the area of a triangle = base x height/2

triangle's area =
`6\,cm*8\,cm/2=24\,cm^2`

Now we use this area in the volume formula:

`V=B\,h\\V=24\,cm^2\,*\,9\,cm\\V=216 \,cm^3`