Question

Find the edge of a cube whose volume is 3375 cm3. Also, find its surface area.

Answer 1

Step-by-step explanation:

volume of cube = a³= 3375

so, a= 15

thus, edge of cube is 15 cm

TSA of cube = 6a²= 6×225= 1350cm²

Answer 2

☯GIVEN :

• Volume = $\bf{3375 \: {cm}^{3} }$

☯TO FIND :

• Edge and surface area.

☯ REQUIRED FORMULA :

• $\bigstar {\underline{ \boxed{ \pink{ \bf{Volume = a^3 }}}}}$

• $\bigstar {\underline{ \boxed{ \purple{ \bf{Surface \: Area = 6 a^2 }}}}}$

➲SOLUTION :

▪Substituting the given values in the first formula :

$\longmapsto \sf{ a^3 = 3375}$

$\longmapsto \sf{ a= \sqrt[3]{3375} }$

$\longmapsto \sf { a = \sqrt[3]{3 \times 3 \times 3 \times 5 \times 5 \times 5} }$

$\longmapsto \sf { a = \sqrt[3]{3^3 \times 5^3 }}$

$\longmapsto \sf { a = 3 \times 5}$

$\longmapsto \underline{\boxed {\bf { a = 15 \: cm }}}$

▪Substituting the given values in the second formula :

$\leadsto \sf{6 a^2 }$

$\leadsto \sf{6 \times (15)^2 }$

$\leadsto \sf{6 \times 225 }$

$\leadsto \underline{ \huge {\boxed { \blue{\bf{1350 \: cm^2 }}}}}$

$\huge{\green {\therefore}}$ Edge= $\bf{15 \: cm}$

$\huge{\green {\therefore}}$ Surface Area = $\bf{1350 \: cm^2}$