Aptitude - Volume and Surface Area - Discussion

Because in square all sides are equal. So h=8.

Because at each corner we have cut a square of 8cm length. So in 48cm length two squares will take 8cm as their sides. So 48-(8+8) = 48-16 will be the new length.

LOOK at the Question once

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:

They have given the length of the square is 8m(one square box is 8, for two square box 8+8)
Draw a rectangular with 48 length and 36 breath after draw 4 square at each corner with 8 m

take the length of rectangular one side=48
the square on both sides of that rectangular length =8+8=16(each square box that we had drawn)
same thing for breath also
36-16=20
(32*20*8)m^2

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.

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.

How did 16 come?

No this is not a cube, this is a rectangular solid so the formula is l*b*h.

Here the box we are talking about is open so why we are not deducting area of upper lid from the volume?

Here 8 is height of square but not of box height. Then how come rectangle box height will b 8?

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.