A carpenter makes a box which has a volume of 13400 cu.cm.The base has an area of 670 sq.cm.What is the height of the box? What is the T.S.A of the box?.Pls experts i don't want related questions and answers ,i only want answers to my questions

Dear Student,

Please find below the solution to the asked query :
We know that volume = base area x height
So height
$$\begin{gathered} \mathrm{h} =\frac{13400}{670}=20 \mathrm{cm} \\ \mathrm{Now} \mathrm{TSA}\hspace{0.17em}\mathrm{of} \mathrm{box} = 2\left[\mathrm{lb}+\mathrm{bh}+\mathrm{hl}\right] \\ \mathrm{Now} \mathrm{here} \mathrm{we} \mathrm{know} \mathrm{h} \mathrm{but} \mathrm{we} \mathrm{dont} \mathrm{know} \mathrm{l}, \mathrm{b} \mathrm{so} \\ \mathrm{but} \mathrm{we} \mathrm{can} \mathrm{factorize} \mathrm{l}\times \mathrm{b} = 670 , \mathrm{to} \mathrm{get} \mathrm{at} \mathrm{least} \mathrm{one} \mathrm{possible} \mathrm{value} \mathrm{of} \mathrm{l} \mathrm{and} \mathrm{b} \\ \mathrm{l}\times \mathrm{b} = 67\times 10 \\ \mathrm{So} \mathrm{l} = 67 \mathrm{and} \mathrm{b} = 10 \\ \mathrm{Now} \mathrm{putting} \mathrm{this} \mathrm{we} \mathrm{get} \\ \mathrm{TSA}\hspace{0.17em}\mathrm{of} \mathrm{box} = 2\left[670+200+1340\right] \\ = 4420 \mathrm{square} \mathrm{cm} \end{gathered}$$

Hope this would clear your doubt about the topic.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards