Question

Geometry

Answer 1

@jdoe0001

Answer 2

well.. the short answer is
you find the volume, the same way you'd find the volume of a triangular prism
you find the area of one face, and then multiply times the length
hmm is a trapezoidal prims
so.. notice
prims have two parallel sides, that's all there's to a prism pretty much :)
and that the're quadrilaterals, so 4 sides and 2 have to be parallel

so

Answer 3

so.. now.. let's take a peek at your "trapezoidal prism"
and its measures

so.. now... lemme do the trapezoidal prism with those values

Answer 4

We use the \[a=\frac{ a+b }{ 2 }*h\] formula

Answer 5

so... hmm the height is 6 anyway.. I'll add that

notice the base, is a trapezoid,

so, let's get the area first, of that trapezoid
and then we'll multiply that, by the height, or 6
recall that \(\bf \textit{area of a trapezoid}=\cfrac{height}{2}\cdot base1\cdot base2\)

Answer 6

hmmm actually, shoot.. yours is correct
anyway \(\bf \textit{area of a trapezoid}=\cfrac{height}{2}( base1+ base2)\)

Answer 7

so.. you know the "height" of the trapezoid, NOT the prism's
the height of the trapezoid, is its altitude
and you also know its bases

so.. what area does that give you for the trapezoid at the base of the prism?

Answer 8

167.7 total

Answer 9

\[6*\frac{ 9+4 }{ 2 }*4.3\]

Answer 10

yeap... that's correct
well then, that's the area of the "trapezoidal prism" :)

the area of the trapezoid is 27.95 * height or 6, is 167.7 :)