Question

the volume of a cube is 343 cubic centimeters. what is the surface area of thee cube?

Answer 1

Answer:

volume =a3

so a=7

total surface area of cube =6a2

6*49=294

Answer 2

Find the total surface area of a cube that has volume of 343 cube centimeter

$\text{ \large \underline{ \green{Given:-}}}$

volume of 343 cube Centimeter

$\text{ \large \underline{ \green{To Find:-}}} </p><p> </p><p>$

find the surface area of cube

$\text{ \large \underline{ \green{Solution:-}}}$

$\begin{gathered}\text{the side of the cube be a Volume } \sf \: = {a}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 343 \: \: \: \: \: \: \: \: \: \: \: = \: {a}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7 \: \: \: \: \: \: \: \: \: \: \: \: \: = \: a\end{gathered} </p><p></p><p>$

$\text{\pink{ \bf So side of the cube is} }\sf 7cm\\ </p><p></p><p>\begin{gathered}\text{\bf Total surface area} = \sf 6{a}^{2} \\\sf= 6({7}^{2} ). \\ \sf =6(49)\\\sf = 294cm\end{gathered} </p><p>$

$\sf \bigstar\large \underline{ \green{more \: information:-}} \\ </p><p> </p><p> </p><p>\sf Tatal \:surface \:area \:=\: {2(lb+bh+lh)} \\ </p><p> </p><p>\sf Lateral\: surface \:area\:= {2(l+b)\times h} \\ </p><p></p><p>\sf Area \:of\: four \:walls\:= {2(l+b)\times h } \\ </p><p></p><p> </p><p>\sf Volume \:of \:cube \:={a}^{3}$