Aptitude - Volume and Surface Area - Discussion

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

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

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

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?

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.

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.

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

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.

Can any one give the correct explanation getting number 16??

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