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I need to find the volume of these but I am having a difficult time. Sorry. Please help!

Guest Sep 5, 2018

#1**+1 **

First one :

We have a right triangle as a base...the two legs are 6 and 8....the area of a right triangle = (1/2) (product of the legs) =

(1/2) (6 * 8) = (1/2) (48) = 24 m^2 = base area

And the height of this triangular pyramid is 8m

So...the volume is (1/3) (base area ) ( height) = (1/3) (24) (8) = (8) (8) = 64 m^3

Second one :

If you look at the front face of this prism, it's just a trapezoid with a height of 4.3 cm and bases of 9cm and 4 cm

The * area* of this trapezoid is (1/2) * height * (sum of the bases) = (1/2)(4.3) ( 9 + 4) = (1/2) (4.3) (13) = 27.95 cm^2

Now...if we consider all these similar trapezoids to be "stacked" to a depth of 6cm...the volume becomes

6 (27.95 ) = 167.7 cm^3

CPhill Sep 5, 2018