-------------------------------------- lab experiment, 3. Station 3 a. Calculate

Question

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lab experiment,

3. Station 3 a. Calculate the perimeter (A+B+C perimeter of the triangle in units of meters. Report the final answer to the correct number of significant figures with units. Show the typed calculation to receive full credit. b. How would you change the measurement process to obtain a perimeter value with more significant figures? 4. Station 4 a. Report the label on the block you measured in lab. Calculate the density of the block measured in units of g/ Report the final answer to the correct mms. number of significant figures with units. Show the typed calculation to receive full credit b. If the mass of the block had been measured on a balance that reads to four decimal places, would that have changed the density value reported above? Briefly explain why or why not

Explanation / Answer

(3) Given values of A, B , C of a triangle.

A = 4 1/3 dm = 4 1/3 decimeter = 43.333 centimeter = 433.33 millimeter

B = 60.6 centimeter = 606 millimeter

C = 69.6 millimeter

Note that Significant numbers after decimal point are ZERO in B.

Now, Perimeter of the triangle = A+B+C = 433.33 + 606 + 69.6 = 1108.93 millimeter

As the least number of Significant numbers in decimal places for A, B & C is zero in B,

We need to round of the Perimeter to zeroth decimal place as B is the least precise value.

=> Perimeter of the triangle = 1109 millimeter

As you can see that the number of Significant numbers in decimal places for A, B & C is more in case of C.

Which means C is the most precise value

Hence using the method of measurement used in C will give us more significant numbers.

(4) Given,

Length = 4.7 mm

Width = 8 mm

height = 5.7 mm

Weight = 109.18 g

Least Precise value is Widht = 8 mm

Therefore, Volume of Block = 4.7 * 8 * 5.7 = 214.32 mm3

Now rounding it off to most precise value = 214 mm3.

Density of the block = mass/ volume = 109.18/ 214 = 0.5108 g/mm3

Now, rounding it off to most precise digit gives Density of Block = 1 g/mm3

If the mass of block was calculated to four decimal places, Density of the block wouldn't change as it will be rounded of to the least precise value i.e., width of the block. In order to increase the precision of the density, Width of the block should be calculated upto required number of decimal places.

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