Question

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

Answer 1

Answer:

a^3=343

a=7

area =6a^2

=6×7×7

=294

Answer 2

$\text{ \large \underline{ \orange{Question:-}}}$

• 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

$\text{ \large \underline{ \pink{To Find:-}}}$

• find the surface area of cube

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

$\text{the side of the cube be a Volume } \sf \: = {a}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 343 \: \: \: \: \: \: \: \: \: \: \: = \: {a}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7 \: \: \: \: \: \: \: \: \: \: \: \: \: = \: a$

$\text{\blue{ \bf So side of the cube is} }\sf 7cm. \:$

$\text{\bf Total surface area} = \sf 6{a}^{2} \\\sf= 6({7}^{2} ). \\ \sf =6(49)\\\sf = 294cm$

$\sf \bigstar\large \underline{ \purple{more \: information:-}}$

• $\sf Tatal \:surface \:area \:=\: {2(lb+bh+lh)}^{2}$

• $\sf Lateral\: surface \:area\:= {2(l+b)\times h}^{2}$

• $\sf Area \:of\: four \:walls\:= {2(l+b)\times h }^{2}$

• $\sf Volume \:of \:cube \:={a}^{3}$