Question

If the volume of cube is 125 cm 3 cubes are joined to each other from end to end then they make a cuboid find the total surface of area of this cuboid solving

Answer 1

❖❖❖❖❖❖❖❖GIVEN❖❖❖❖❖❖❖❖

$volume \: of \: cube \: = 125 \: {cm}^{3}$

3 cubes are joined to make a cuboid

❖❖❖❖❖❖❖❖TO FIND❖❖❖❖❖❖❖❖

TSA of cuboid formed

❖❖❖❖❖❖❖❖SOLUTION❖❖❖❖❖❖❖

As we know,

$volume \: of \: cube = {(side)}^{3} \\ \\ 125 {cm}^{3} = {(side)}^{3} \\ \\ side = \sqrt[3]{125} \\ \\ side \: = 5 \: cm$

So, side of cube will be 5 cm

NOW SINCE 3 CUBES WERE JOINED TO FORM CUBOID THEREFORE,,(refer to image)

length of cuboid = 3 × side of cube= 3×5 = 15 cm

breadth of cuboid = side of cube = 5 cm

height of cuboid = side of cube= 5 cm

We know that,

$total \: surface \: area \\ \: of \: cuboid \: = 2(lb + bh + lh)$

putting values of l, b and h

TSA of

cuboid = 2[ ( 15×5) +(5×5) +(15×5) ]

$total \: surface \: area \\ \: of \: cuboid \: = 350 \: {cm}^{2}$

SO THE TOTAL SURFACE AREA OF CUBOID FORMED WILL BE 350 SQUARE CMS.

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