Aptitude - Volume and Surface Area - Discussion
Discussion Forum : Volume and Surface Area - General Questions (Q.No. 10)
10.
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Answer: Option
Explanation:
Clearly, l = (48 - 16)m = 32 m,
b = (36 -16)m = 20 m,
h = 8 m.
Volume of the box = (32 x 20 x 8) m3 = 5120 m3.
Discussion:
46 comments Page 1 of 5.
AKumar said:
4 years ago
It's is so easy..we have given length 48 and breadth 36 of a box.
Now a square of 8 m is cut from 4 corners of the above box means 4 small boxes at 4 corners of the box are formed. Now we'll find the volume of the remaining box. Now,
New length of the box = 48-(8+8) = 32m,
New breath of the box = 36-(8+8) = 20m,
New height = 8m.
So volume = l*b*h = 32*20*8 = 5120 cubic meter.
Now a square of 8 m is cut from 4 corners of the above box means 4 small boxes at 4 corners of the box are formed. Now we'll find the volume of the remaining box. Now,
New length of the box = 48-(8+8) = 32m,
New breath of the box = 36-(8+8) = 20m,
New height = 8m.
So volume = l*b*h = 32*20*8 = 5120 cubic meter.
(10)
Adarsh thakur said:
4 years ago
How to get height? Explain please.
(2)
Pratiksha said:
7 years ago
How can we take h=8? it is not given.
(2)
Akhil said:
7 years ago
@All.
To make an open box, the sheet is to be moulded after cutting 4 squares. Then effective length becomes 32m and breadth becomes 20 m and the height of the box is the length of square taken off (i.e =8 m).
Volume of box is 32 * 20 * 8.
To make an open box, the sheet is to be moulded after cutting 4 squares. Then effective length becomes 32m and breadth becomes 20 m and the height of the box is the length of square taken off (i.e =8 m).
Volume of box is 32 * 20 * 8.
(2)
Adarsh thakur said:
4 years ago
How to get height? Explain please.
(1)
Maheeth said:
4 years ago
The height will be 8m because the square of 8m is given and it is square so length will be nothing but height.
Imagine a square of 8m it has only two parameters.
Length and breadth, when that square is placed in rectangle then length will be height.
Imagine a square of 8m it has only two parameters.
Length and breadth, when that square is placed in rectangle then length will be height.
(1)
Mohd Amaan Sarwar said:
5 years ago
How length of the square i.e 8m became height of the box?
(1)
Tariq said:
9 years ago
Take a rectangular sheet of paper. Cut 4 squares at the four corners of the paper. Now fold in the paper at the cut edges to form an open box.
Assume: The length of paper is 48m. Now that two squares of 8m length are removed from corners, length will be reduced to 48 - 8 - 8 = 32. Similarly, breadth will be reduced to 36 - 8 - 8 = 20. The folded-in part of paper, which forms the wall of the open box, is nothing but a side of the square (8m). So volume will be l * b * h.
32 * 20 * 8 = 5120.
Assume: The length of paper is 48m. Now that two squares of 8m length are removed from corners, length will be reduced to 48 - 8 - 8 = 32. Similarly, breadth will be reduced to 36 - 8 - 8 = 20. The folded-in part of paper, which forms the wall of the open box, is nothing but a side of the square (8m). So volume will be l * b * h.
32 * 20 * 8 = 5120.
(1)
Nagmani said:
9 years ago
The squares are not used for making that box, the remaining part of the sheet is used for the box.
This sheet has been cut only for making the open box.
If you take base of dimension 32 * 20 then the remaining extra part of the sheet which is also the remaining connected part can be folded to make the open box.
So, now the height of the box is 8 so volume is 32 * 20 * 8.
This sheet has been cut only for making the open box.
If you take base of dimension 32 * 20 then the remaining extra part of the sheet which is also the remaining connected part can be folded to make the open box.
So, now the height of the box is 8 so volume is 32 * 20 * 8.
(1)
Appu said:
9 years ago
Yes, Divya is correct please answer her question,
Area of remaining sheet = (48 * 36) = 1440.
Area of square = 8 * 8 = 64 * 4 = 256.
Balance = 1184.
But 32 x 20 = 512 how?
Area of remaining sheet = (48 * 36) = 1440.
Area of square = 8 * 8 = 64 * 4 = 256.
Balance = 1184.
But 32 x 20 = 512 how?
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