Question

7 Find the side of a cube whose a. sweface are is 60o em?.​

Answer 1

Answer:

$\mathbb \red{\underline{QUESTION: }} \: Find \: the \: side \: of \: a \: cube \\ whose \: surface \: area \: is \: 600 \: {cm}^{2} \\ {\underline{\mathtt{\red{so}\pink{lu}\green{ti} \blue{on} \purple{ : }}}} \\ given : surface \: area \: of \: cube \: = 600 {cm}^{2} \\ let \: the \: side \: of \: cube \: = x \: cm \\ we \: know \: that ,  \\ \blue {surface \: area \: of \: cube = 6 \times {(side)}^{2}} \\ ∴ \: 600 = 6 \times {x}^{2} \\ ∴\frac {600}{6} = {x}^{2} \\ ∴ \: 100 = {x}^{2} \\ ∴ \: {x}^{2} = 100 \\∴ \: x = \sqrt{100} \\ ∴ \: x = \sqrt{ {10}^{2} } \\ ∴ \: x = 10 \: cm \\ ∴ \: side \: of \: cube = 10 \: cm \\ \purple{\rule{45pt}{7pt}}\red{\rule{45pt}{7pt}}\pink{\rule{45pt}{7pt}}\blue{\rule{45pt}{7pt}}$