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The dimensions for a rectangular prism are x + 7 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form. The volume of the prism can be expressed as _____.

Respuesta :

Answer:

The volume of the prism is x^3 + 16x^2 + 63x

Step-by-step explanation:

Mathematically, the volume of the prism is the area of the base multiplied by the height of the prism

The area of the base is l * w

= (x + 7)(x + 9) = x^2 + 7x + 9x + 63 = x^2 + 16x + 63

The volume is now; x(x^2 + 16x + 63)= x^3 + 16x^2 + 63x

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