Question

which one is with bigger volume. A cube of side 12cm or a a cuboid of sides 8×6×4 cm​

Answer 1

Answer:

lets find cube volume=s³

given, one side of cube =12cm

∴volume of the cube=[12]³

                              =1728 cm³

and now find volume of the cuboid=lxbxh

volume of the given cuboid=8x6x4

                                           =192 cm³

∴the bigger volume is cube

Answer 2

Required Answer:

Part 1:

To find volume of cube:

We know:

$\checkmark \boxed{ \rm volume \: of \: cube = {side}^{3} }$

By using this formula we can find value of volume of cube

$\dashrightarrow\sf volume \: of \: cube = {side}^{3} \\ \\ \dashrightarrow \sf volume \: of \: cube = {12}^{3} \\ \\ \sf \dashrightarrow volume \: of \: cube = 12 \times 12 \\ \\ \dashrightarrow \underline {\boxed{\sf volume \: of \: cube = 1728 {cm}^{3} }}$

Part 2:

To find volume of cuboid:

We know:

$\checkmark \boxed{ \rm volume \: of \: cuboid = length \times bredth \times height}$

By using this formula we can find volume of cuboid

$\dashrightarrow\sf volume \: of \: cuboid = lenght \times breadth \times height \\ \\ \dashrightarrow \sf volume \: of \: cuboid = 8 \times 6 \times 4\\ \\ \sf \dashrightarrow volume \: of \: cuboid = 8 \times 24 \\ \\ \dashrightarrow \underline {\boxed{\sf volume \: of \: cuboid = 192 {cm}^{3} }}$

Part 3:

comparison

Now as we can see

$\dashrightarrow \sf1728 > 192$

$\therefore$

$\underline{ \rm{}volume \: of \: cube \: is \: greater \: than \: volume \: of \: cuboid} \checkmark$