26.6k views
1 vote
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 _____.

User Avalanchis
by
8.4k points

1 Answer

1 vote

Answer:

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

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

User Mrug
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories