Question

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The length and breadth of a rectangular sheet of paper are 60 cm and 30 cm, respectively. A square of side 5 cm is cut and removed from the four corners of the sheet. The rest of the paper is folded to form a cuboid (without the top face). Find the volume of the cuboid so formed (in cm³).
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Answer 1

$\sf\huge\bold{Answer:}$

Given :

Length of rectangular sheet of paper = 60 cm

Breadth of rectangular sheet of paper = 30 cm

Side of smaller square that is to cut = 5cm

To find :

Volume of the cuboid formed (in cm³).

Solution :

$\fbox\purple{For Rectangular sheet }$

Length = 60 cm

New length = 60 - (5+5) cm = (60 - 10) cm = 50 cm

Breadth = 30 cm

New breadth = 30 - (5+5) cm = (30-10)cm = 20cm

[ Since,square is cut from each corner

5 cm will be cut from each side 5+5 ]

$\fbox{For the cuboid formed}$

Length = 50cm

Breadth = 30cm

Height = 5 cm

[ for taking these as cuboid dimensions refer above attachment ] :⟶ This will give you a better view of the situation.

$\fbox{Formula used}$

$\sf\purple{Volume \:of \:cuboid = Length×Breadth×Height}$

:⟶Volume = 50cm×30cm×5cm

:⟶Volume = 7500 cm³

$\tt{Volume\:of \:cuboid\:formed\:is}$

$\sf\huge\purple{7500cm³}$

Answer 2

$\tt\pink{Given :}$

➨ Length of rectangular sheet of paper = 60 cm

➨ Breadth of rectangular sheet of paper = 30 cm

➨ Side of smaller square that is to cut = 5cm

$\tt\pink{To find :}$

Volume of the cuboid formed (in cm³).

$\tt\pink{Solution :}$

$\tt\pink{For\: Rectangular\:sheet}$

➨ Length = 60 cm

➨ New length = 60 - (5+5) cm = (60 - 10) cm = 50 cm

➨ Breadth = 30 cm

➨ New breadth = 30 - (5+5) cm = (30-10)cm = 20cm

[ Since,square is cut from each corner 5 cm will be cut from each side 5+5 ]

$\tt\pink{For\:the\:cuboid\:formed}$

➨ Length = 50cm

➨ Breadth = 30cm

➨ Height = 5 cm

[ for taking these as cuboid dimensions refer above attachment ] :⟶ This will give you a better view of the situation.

$\tt\pink{Formula\:used}$

volume of cuboid = Length×Breadth×Height

:⟶Volume = 50cm×30cm×5cm

:⟶Volume = 7500 cm³

➨ Volume of cuboid formed is

➨7500cm³.

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