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 2 of 5.
M.V.KRISHNA/PALVONCHA said:
1 decade ago
Your explanation is good shankar.
Here we are removing squares from 2 corners, so there will be 2 squares at each side.
Length of square is given as 8m.
=>length of squares= 8m+8m=16m.
So 16m is subtracted from length and breadth of rectangle.
Hope you understand.
Here we are removing squares from 2 corners, so there will be 2 squares at each side.
Length of square is given as 8m.
=>length of squares= 8m+8m=16m.
So 16m is subtracted from length and breadth of rectangle.
Hope you understand.
Nitin said:
1 decade ago
Given a Rectangular Sheet, same size Squares need to be cut out from the corners of the Rectangular Sheet, so as to make an Open Box. The Length of one side of the Square will be the Height of the Open Box.
Its best visualized by taking a sheet of paper, cut out squares from the corners, and then fold the portion apart from central rectangle in upward manner. This is an open box.
Its best visualized by taking a sheet of paper, cut out squares from the corners, and then fold the portion apart from central rectangle in upward manner. This is an open box.
Fizz said:
1 decade ago
Hi, since the length of the square is mentioned, can't we use it directly to calculate volume for the box (cube) in this case. 8^3 = 512?
Aravind said:
1 decade ago
No this is not a cube, this is a rectangular solid so the formula is l*b*h.
Harsha said:
1 decade ago
Here the box we are talking about is open so why we are not deducting area of upper lid from the volume?
Pooja said:
1 decade ago
Here 8 is height of square but not of box height. Then how come rectangle box height will b 8?
Mounica said:
1 decade ago
It is very easy to understand if you try with a paper. When you fold the paper to make a box the height of box will be equal to the square length.
Avijit said:
1 decade ago
How the height of the box is 8?
Sikandar said:
1 decade ago
Here whether the remaining area after deducting the 4 squares is used for making box if it is so then how 8 will come at the place of height.
How is it clear from question that which area have to be used for box?
How is it clear from question that which area have to be used for box?
Hemant said:
10 years ago
Take a sheet 48*36 cut each corner 8 unit you will get a shape like # this fold it you will get a open box which dimension 32*20*8 unit. Try to imagine or drawing.
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