Question

Choose the formula for the volume of a rectangular box, V = lwh written in terms of w.A.w=Vh/LB.w=hl/VC.w=V/lhD.w=l/VhPart BFind the width w of a box with volume V = 120 cm3, l = 3 cm and h = 5 cm.width = cm

Answer 1

We are given the formula for the volume of a rectangular box

$V=\text{lwh}$

Writing the formula in terms of w

We will divide both sides by lh

This gives

$\begin{gathered} \frac{V}{lh}=\frac{\text{lwh}}{lh} \\ w=\frac{V}{lh} \end{gathered}$

We are given

$V=120\operatorname{cm},l=3\operatorname{cm},h=5\operatorname{cm}$

We are to find the width

Using the formula and substituting values we have

$\begin{gathered} w=\frac{120\operatorname{cm}}{3\operatorname{cm}\times5\operatorname{cm}} \\ w=\frac{120\operatorname{cm}}{15\operatorname{cm}^2} \\ w=8\operatorname{cm} \end{gathered}$

Therefore, the width is 8 cm