Chapter 2 Review
Length
1 in = 2.54 cm
1 ft = 30 cm
1 yd = 0.9 m
1 mi = 1.6 km
1 ft = 12 in
1 yd = 3 ft
1 mi = 5280 ft
Volume
1 tsp = 5 ml
1 tbsp = 15 ml
1 fl oz = 30 ml
1 cup = 0.24 l
1 pint = 0.47 l
1 qt = 0.95 l
1 gal = 3.8 l
1 ft3 = 0.03 m3
1 yd3 = 0.76 m3
1 cup = 8 oz
1 pint = 2 cups
1 quart = 2 pints
7.48 gallons = 1 ft3
Area
1 in2 = 6.5 cm2
1 ft2 = 0.09 m2
1 yd2 = 0.8 m2
1 mi2 = 2.6 km2
Weight
1 oz = 28 g
1 lb = 0.45 kg
1 Ton = 0.9 t (tonne)
1 lb = 16 oz
1 ton = 2000 lb
1
Volume of a triangular prism 𝑉 = 𝑏ℎ𝑙
Volume of a rectangular prism V = lwh
2
1
1
Volume of a Square Pyramid V = 𝑠 2 ℎ
Volume of a rectangular pyramid V = 𝑙𝑤ℎ
Volume cylinder 𝑉 = 𝜋𝑟 2 ℎ
Volume sphere
3
1
4
3
3
𝜋𝑟 3
(𝑏+𝐵)ℎ
Volume cone 𝑉 = 𝜋𝑟 2 ℎ
Area trapezoid A =
Area triangle A =
Area circle A = 𝜋𝑟 2 Circumference C = 2𝜋𝑟
3
𝑏ℎ
2
Area rectangle A = lw
2
Area parallelogram A = bh
milliliter
1000 (ml)
centiliter
100 (cl)
deciliter
10 (dl)
liter
1 (l)
dekaliter
0.1 (dal)
hectoliter
0.01 (hl)
kiloliter
0.001 (kl)
millimeter
1000 (mm)
centimeter
100 (cm)
decimeter
10 (dm)
meter
1 (m)
dekameter
0.1 (dam)
hectometer
0.01 (hm)
kilometer
0.001 (km)
milligram
1000 (mg)
centigram
100 (cg)
decigram
10 (dg)
gram
1 (g)
dekagram
0.1 (dag)
hectogram
0.01 (hg)
kilogram
0.001 (kg)
Roman
numeral
HinduArabic
Roman
numeral
HinduArabic
Roman
numeral
HinduArabic
Roman
numeral
HinduArabic
I
II
III
IV
V
VI
VII
VIII
IX
1
2
3
4
5
6
7
8
9
X
XX
XXX
XL
L
LX
LXX
LXXX
XC
10
20
30
40
50
60
70
80
90
C
CC
CCC
CD
D
DC
DCC
DCCC
CM
100
200
300
400
500
600
700
800
900
M
MM
MMM
1000
2000
3000
1) Use the Pythagorean Theorem to find the missing length. Assume lengths are given in
centimeters. Round to 2 decimals when appropriate.
1a)
1b)
1c)
2) Find the perimeter and area of the trapezoid below.
3) Find the circumference and area of the circle below. Leave your answer in terms of 𝜋.
4) Find the length of the unknown side, then find the perimeter and area of the triangle.
Assume lengths are given in inches.
5) Find the shaded area. Leave your answer in terms of 𝜋.
6) Find the shaded area. Use 3.14 for 𝜋. Round your answer to 2 decimals.
7) Find the shaded area. Use 3.14 for 𝜋. Round your answer to 2 decimals. Assume lengths
are in centimeters.
8) Find the volume. Leave your answer in terms of 𝜋.
9) Find the volume. Leave your answer as a fraction in terms of 𝜋.
10) Find the volume.
#11-13: Use dimensional analysis to find the missing quantity. Round to 2 decimals when
appropriate.
11) 24 m = _____cm
12) 2 qt = _____ml
13) 10,560 ft = _______ km
14) A pool is 20 ft long, 20 ft wide and 4.5 ft deep.
a) What is the volume of the pool in cubic feet?
b) How many gallons of water can it hold?
15) A car is traveling at a speed of 60 miles per hour. What is the speed in kilometers per
hour?
#16-19: Write as a Roman numeral.
16) 2156
17) 417
18) 1946
19-21: Write as a Hindu Arabic numeral.
19) MCMLXXVI
20) DCCXLII
21) CDXCIX
Homework #22-24: Convert to base 10 (some of your answers may be very large)
22) 1023
23) 3104
24) 315
Homework #25 – 27: Convert to the indicated base.
25) 43 to base 7
26) 56 to base 4
27) 213 to base 5
Answers: 1a) 8.49 cm or 6√2 𝑐𝑚 1b) 5 cm 1c) 18.87 cm
2) area 165 mm2 perimeter 57 mm 3) circumference 22𝜋 𝑐𝑚 area 121𝜋 𝑐𝑚2
4) missing side 12 in, perimeter 30 in, area 30 in2 5) 40𝜋 𝑐𝑚2 6) 168.56 km2
7) 34.24 cm2 8) 99𝜋 𝑓𝑡 3 9)
5324
3
𝜋 𝑚3 10) 140 m3 11) 2400 cm 12) 1900 ml
13) 3.2 km 14a) 1800 ft3 14b) 13464 gallons 15) 96 kmph
16) MMCLVI 17) CDXVII 18) MCMXLVI 19) 1976 20) 742 21) 499
22) 11 23) 52 24) 16 25) 617 26) 3204 27) 13235