Atriangular pyramid has a height of 18 yards and a base with an area of 330 square yards. what is the volume of the pyramid?

a. 660 yd
b. 2,970 yd
c. 1,980 yd
d. 5,940 yd

option C.

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

where

B is the area of the triangular base

h is the height of the pyramid

In this problem we have

substitute in the formula

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step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0