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:
4830
5120
6420
8960
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.

Adarsh thakur said:   4 years ago
How to get height? Explain please.
(1)

Adarsh thakur said:   4 years ago
How to get height? Explain please.
(2)

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.
(1)

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.
(10)

Gaurav said:   4 years ago
@Nagmani.

Thanks for the best explanation!

Mohd Amaan Sarwar said:   5 years ago
How length of the square i.e 8m became height of the box?
(1)

Aman fauji said:   5 years ago
Thanks @Hemant.

Vaishanvi said:   5 years ago
By we consider the ratio of volume to the curved surface area why not curved surface area to volume to find radius? Please, anyone, tell me.

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.
(2)


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