Suppose you are trying to find the volume of a box based on the following measur

Question

Suppose you are trying to find the volume of a box based on the following measurements for the length, width, and height of the box, where the height was measured in two parts. length, I 2.20 in width, w 2.91 in height, h 10.4 in +1 in Calculate the height (h) of the box first keeping all digits, then rounding to the proper number of significant figures. unrounded rounded Number Number in in Calculate the volume (V) of the box using V Ixwxh. Round to the proper number of significant figures. Number V- in3 Previous & Give Vp & View Solution Check Answer Next

Explanation / Answer

1.The height is measured in two parts hence the height can be found out by adding both the heights

I.e. 10.4 + 1 = 11.4 in

Now this will be your unrounded number

Now to calculate rounded one

There are two ways of doing it round off the number before addition

I.e. you have 10.4 so it will be rounded off to 10

(Look at the digit you are rounding off if it contains 1 , 2, 3,4 then it us rounded off to nearest units place I.e. 10 in this example)

So the addition will.go like

10+1 = 11

Other way us to round off the unrounded answer

I.e. 11.4 = 11

Irrespective of which method you use you will get the same answer

2. Now to calculate volume

The formula is given

V = l * w * h

= 2.20 * 2.91 * 11.4

= 72.9828 in^3

Rounding.off 72.9828 will occur in following steps

1. 72.9828 = 72.983

(As the last number is greater than 5 it is rounded to its nearest unit place)

2. 72.983= 72.98

(As the last number is smaller than 5 the 8 remains unchanged)

3. 72.98 = 73.0

(As the last number is greater than 5 it is rounded off to its nearest unit place and the number becomes 10 so the 1 from 10 is shifted to the left side and added to 72 and 0 remains at right)

4. 73 = 70

( now as this number is a two digit number the digit will ne rounded off to nearest 10s place I.e. 70)

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