Find the volume of this prism 5cm,12,cm 15cm,6cm 8cm

The required total volume of the complete prism is 840 cm³.

We have to determine, The volume of the prism 5cm,12,cm 15cm,6cm 8cm.

According to the question,

The prism can be divided into two rectangular prisms,

First part at the top, with dimensions

And the other part one at the bottom with dimensions

Area of the first prism:

Area of the second prism:

Then, The Total volume of the complete prism is 120 + 720 = 840 cm³

Hence,  The required total volume of the complete prism is 840 cm³.

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840 cm³

Step-by-step explanation:

In the figure attached, the prism is shown.

The prism can be divided into two rectangular prisms, one at the top, with dimensions 5 x 4 (= 12 - 8) x 6 cm, and the other one at the bottom with dimensions 15 x 6 x 8 cm.

Area of the first prism: 5*4*6 = 120 cm³

Area of the second prism: 15*6*8 = 720 cm³

Then, the volume of the complete prism is 120 + 720 = 840 cm³

answer is:

1.75 pounds

(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