Question

Find the surface area of the wooden box whose shape is of a cube, and if the edge of the box is 12cm

Answer 1

$\boxed{\mathfrak\purple{Total \: surface \: of \: wooden \: box \: is \: {864cm}^{2}}}$

Given:

• Edge of box (length) = 12cm.

To Find:

• Total surface area of the wooden box = ?

Solution:

(It is given that the wooden box is in shape of Cube.)

Therefore; we know that,

$\star \: \boxed{\mathfrak\green{Total \: surface \: area \: of \: Cube = 6 {l}^{2} }}$

Substituting values,

$:\implies\mathfrak{6 \times ( {12)}^{2} } \\ \\ \\ \\ :\implies\mathfrak{6 \times 144} \\ \\ \\ \\ :\implies\mathfrak{864} \\ \\ \\ \\ \sf\star \: \underbrace\red{Total \: surface \: of \: cube = {864cm}^{2}} \: \star$

Hence,

• The total surface area of wooden box is 864cm².

ExtraShots:

• $\mathfrak\orange{Surface \: area \: of \: cube = 4l^2}$

• $\mathfrak\pink{Volume \: of \: cube = l^3}$

• $\mathfrak\blue{Surface \: area \: of \: cuboid = 2h (l + b)}$

• $\mathfrak\purple{Total \:Surface \: area \: of \: cuboid = 2 (lb + bh + hl)}$

• $\mathfrak\green{Volume \: of \: cuboid = l \times b \times h}$