Arectangular prism with a square base is cut from the center of a triangular prism. each side of the square base measures 1.7 units. what is the volume of the shaded solid? round to the nearest tenth of a cubic unit.

the answer is 45.4 u³.

Let be the volume of the solid S. We can write:

Now, we just need to calculate the volume of the original prism (Vtriangular) and the volume that was removed (Vrectangular). So:

Then,

Thus, the answer is 45.4 u³.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

an altitude of 15,000 feet

step-by-step explanation: