# 1.4.1: Practice Problems on Measurements

$$\newcommand{\vecs}{\overset { \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}{\| #1 \|}$$ $$\newcommand{\inner}{\langle #1, #2 \rangle}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}{\| #1 \|}$$ $$\newcommand{\inner}{\langle #1, #2 \rangle}$$ $$\newcommand{\Span}{\mathrm{span}}$$$$\newcommand{\AA}{\unicode[.8,0]{x212B}}$$

PROBLEM $$\PageIndex{1}$$

Indicate the SI base units or derived units that are appropriate for the following measurements.

(a) the mass of the moon

(b) the distance from Dallas to Oklahoma City

(c) the speed of sound

(d) the density of air

(e) the area of the state of Oregon

(f) the volume of a flu shot

kilogram

meter

meter per second

kilogram per cubic meter

square meters

cubic meters

PROBLEM $$\PageIndex{2}$$

Indicate the SI base units or derived units that are appropriate for the following measurements.

(a) the length of a marathon race (26.2 miles)

(b) the mass of an automobile

(c) the volume of a swimming pool

(d) the speed of an airplane

(e) the density of gold

(f) the area of a football field

meter

kilogram

cubic meter

meter per second

kilogram per cubic meter

square meter

PROBLEM $$\PageIndex{3}$$

A large piece of jewelry has a mass of 132.6 g. A graduated cylinder initially contains 48.6 mL of water. When the jewelry is submerged in the graduated cylinder, the total volume increases to 61.2 mL.

(a) Determine the density of this piece of jewelry (in g/mL).

(b) Assuming the jewelry is made of only one substance, what substance is it likely to be (Refer to Table 1.1.3 in the previous section). Explain your answer.

10.5 g/mL

Silver (Density is 10.5 g/mL in Table 1.1.3)

Click here to see a video of the solution.

PROBLEM $$\PageIndex{4}$$

Give the name and symbol of the prefixes used with SI units to indicate multiplication by the following exact quantities.

(a) 103

(b) 10-2

(c) 0.1

(d) 10-3

(e) 1,000,000

(f) 0.000001

kilo- (k)

centi- (c)

deci- (d)

milli- (m)

Mega (M)

micro (u or µ)

PROBLEM $$\PageIndex{5}$$

Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units.

(a) c

(b) d

(c) G

(d) k

(e) m

(f) n

(g) p

(h) T

centi (10-2)

deci (10-1)

giga (109)

kilo (103)

milli (10-3)

nano (10-9)