Question

$\large\bold{\underline{\underline{Question:-}}}$
Two cubes, each of volume 512 cm^3 are joined end to end. Find the surface area of the resulting cuboid.


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Answer 1

Answer:

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Answer 2

$\rm{\bf \: Total \: surface \: area = 640 \: cm²}$

Step-by-step explanation:

★Given -

• Two cubes, each of volume 512 cm³ are joined end to end.

★To find -

• The surface area of the resulting cuboid.

★Solution -

$\rm { \bf \blue{Volume \: of \: cube = a³}}$

where, a is the edge length of the cube.

$\longmapsto \rm{ \bf512 = {a}^{3} }$

$\longmapsto \rm{ \bf \orange{8 \: cm = {a} }}$

Now, when we join 2 cubes we'll get a cuboid whose length(l) = 16 cm, breadth(b) = 8 cm, and height(h) = 8 cm.

$\rm{ \bf \green{Total \: surface \: area \: of \: cuboid( TSA ) = 2(lb + bh + hl)}}$

${ \longmapsto \rm{ \bf TSA = 2(16 \times 8 + 8 \times 8 + 16 \times 8)}}$

$\longmapsto\rm{ \bf TSA = 2(128+ 64 + 128)}$

$\longmapsto\rm{ \bf TSA = 2(320)}$

$\longmapsto\rm{ \overline{\underline{ \bf \purple{ \boxed{ \rm \: TSA = 640 \: {cm}^{2} }}}}}$