What is the VOLUME of the composite figure below?

216 in³

Step-by-step explanation:

We can split it into 3 prisms:

1. Horizontal one: 12×3×3

2 2 vertical ones: 6×3×3

Total volume: 12×3×3+2×6×3×3=3×3(12+12)=

9×24=216in³

216 inch ^3 is the vol

Step-by-step explanation:

just act like it a full rectangle prism and find the volume of that then subtract the vol of the small parts we added.

So to find the vol it be 12 times 3 times 9  = 324 in

but we filled in those gaps so now we find the volume of those and subtract it.

Gap 1 would be 3 by 6 by 3 = 54 in but their two gaps that are the same so double it = 108 in

now take 324 - 108  =216 in

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

astronomers is your final answer! : )