Question

The volume of a rectangular prism is represented by the function x^3 + 11x^2 + 20x − 32. The width of the box is x − 1 while the height is x + 8. Find the expression representing the length of the box.
A. x − 6
B. x − 4
C. x + 4
D. x + 6

Answer 1

what is the formula for the volume of a rectangular prism? The info from your question implies the volume = lwh (w=width, h=height, l=length) equals your expression. So I will multiply the expression for the height and width then divide by the expression for the volume. The answer gives me the length of the prism!

Answer 2

\(\bf \textit{volume of a cube}=length\cdot width\cdot height\\ \quad \\
length\cdot width\cdot height=length\cdot width\cdot height\\ \quad \\\implies \cfrac{length\cdot width\cdot height}{length\cdot width}=height\)

Answer 3

hmmm

Answer 4

rather..... \(\bf \bf \textit{volume of a cube}=length\cdot width\cdot height\\ \quad \\
length\cdot width\cdot height=length\cdot width\cdot height\\ \quad \\\implies \cfrac{length\cdot width\cdot height}{height\cdot width}=length\)

Answer 5

\(\bf \textit{volume of a cube}= x^3 + 11x^2 + 20x − 32\\ \quad \\
width=(x-1)\qquad \qquad height=(x+8)\qquad length = l\\ \quad \\ \quad \\

x^3 + 11x^2 + 20x − 32=(x-1)(x+8)l\\ \quad \\\implies \cfrac{x^3 + 11x^2 + 20x − 32}{(x-1)(x+8)}=l\)

Answer 6

No I think you will find the expression by dividing \[x^{3} + 11x ^{2} + 20x - 32 \] by \[x ^{2}+7x -8\]

Answer 7

the answer will give u the required expression!