Question

You have a summer job working for a swimming pool construction company. Your boss gives you the following task. He is preparing to install a swimming pool that measures (10.0 ± 0.1) m by (17.0 ± 0.1) m. The homeowners have asked for a sidewalk to be constructed around the pool. The sidewalk is to measure (1.00 ± 0.01) m wide by (9.0 ± 0.2) cm thick. Your boss asks you to determine the volume of concrete needed for the sidewalk, along with the approximate uncertainty of this volume.

(a)

the volume of concrete (in m³) needed for the sidewalk (Express your answer to the correct number of significant figures.)

__________m³

(b)

the approximate uncertainty of this volume (Express your answer in m³ to the correct number of significant figures.)

_______ m³

(c)

The concrete your boss wants to use is delivered to the work site in units of 2.5 m³. Will two of those units be sufficient? Explain.

(A) Yes, two units (5.0 m³) will be sufficient since 5.0 m³ is greater than the maximum possible volume.

(B)Yes, two units (5.0 m³) will be sufficient since 5.0 m³ is less than the maximum possible volume.

(C) Two units (5.0 m³) may not be sufficient since 5.0 m³ is greater than the maximum possible volume.

(D) Two units (5.0 m³) may not be sufficient since 5.0 m³ is less than the maximum possible volume.

Answer 1

of poola-eC.0t0.1)m Measuz.ement. Clo.O0NM Length_of_sidewalk to be Comstucted must be the of A B8c Sum O+.0 =19 - Om A BtC = -0 Atto O L =To1o-olt0-02 19.001)m width_o sidewalk to beConstuctcd that must be Sum Ob and BC o.o o+o = N-1240.0100 - Thickness ofsidetack is 9.00.) Cm Co.0gat0.00oRm Volume of Concete needcd_is Ltt ori)(wt o) (H£0 (19.0t 01) (2.0to. (0-09 0.002). 30.5 m3 LWH 19.0 x 1-0X 0. og o V =

(6) 2 H R0- 52 D002) O.090/ V (C Volume ot Conretc needed is R0-SOm3 V Oncetainity Df vdbme is Two units(s.o m) may Not be ubticicntsince 5.0m is less than the maximim possible volome