7. -15 points SerCP8 1.P011 My Notes Ask Your Teac A block of gold has length 5.

Question

7. -15 points SerCP8 1.P011 My Notes Ask Your Teac A block of gold has length 5.62 cm, width 6.35 cm, and height 2.78 cm (a) Calculate the length times the width and round the answer to the appropriate number of significant figures cm (b) Now multiply the rounded result of part (a) by the height and again round, and obtaining the volume. cm3 (c) Repeat the process, first finding the width times the height, rounding it, and then obtaining the volume by multiplying by the length. width times height cm2 cm 3 e answer times length (d) Explain why the answers don't agree in the third significant figure.

Explanation / Answer

given

l = 5.62 cm

w = 6.35 cm

h = 2.78 cm

a. l*w = 35.687

rounding off

l*w = 35.69 cm^2

b. 35.69*h = 99.2182

rounding off

35.69*h = 99.22 cm^3

c. w*h = 17.653

rounding off = 17.65

17.65*l = 99.193

rounding off

17.65*l = 99.19 cm^3

d. rthe answers dont agree in the third significant figure due to discrepancy in the calculation due to dropping of significant figures before completing the complete multiplication

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