Question

Can a I have a tutor to help me with this ?

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Interpret the given statements

`\begin{gathered} height(h)=6ft \\ length(l)=2ft+width(w)=w+2 \\ width=w \end{gathered}`

STEP 2: Write the formula for finding the volume of a rectangular prism

`V=l* w* h`

STEP 3: Substitute w+2 for length in the formula above

By substitution, this equation becomes;

`\begin{gathered} l=w+2,h=6 \\ By\text{ substitution,} \\ V=(w+2)* w*6 \\ \mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac \\ 6w\left(w+2\right)=6w\cdot w+6w*\:2 \\ =6ww+6w* \:2 \\ =6w^2+12w \end{gathered}`

Hence, the equation becomes:

`\begin{equation*} 6w^2+12w \end{equation*}`