Name: ____________________________ Date: __________ Per: ______________
Measurement Day 3: Converting Units of Volume and Area
Learning Objective: By the end of this Lesson I will be able to:
________________________________________________________________
________________________________________________________________
Do Now:
 ASSESSMENT QUIZ OF THE DAY #3
Create our own conversions reference sheet:
Customary units of Volume
Note:
 1 foot = 12 inches

1 yard = 3 feet

1 yard = 36 inches
Metric units of Volume
Note:
 1 meter = 100 centimeters

1 cubic foot = _________ cubic inches
1 kilometer = 1000 meters
1 cubic meter = _________ cubic centimeters
1 cubic yard = _________ cubic feet
1 cubic yard = _________ cubic inches
1 cubic kilometer = _________ cubic meters
To help you get an idea for converting units of volume, look at the following illustrations.
The figures below are not drawn to scale.
1 ft
1 ft
1 ft
1 ft
1 ft
1 yd
1 ft
1 yd
1 yd
1 yd
1 yd
1 yd
Based on the illustrations above, write the following conversions.
1 yard = ______ feet
1 square yard = _____ x ____ = ______ square feet
1 cubic yard = _____ x _____ x _____ = _____ cubic feet
Class Work
You are given the rectangular prism below. Note that the units of the
measures of the sides are given in feet.
a) Find the volume of the shape
9 feet
V = lwh
11 feet
15 feet
b) Write your answer in cubic yards.
Applications: Converting units of area and volume
1) Jack builds a dollhouse. The floor of the
dollhouse is square. Jack covers the floor
with 144 square inches of tile. How long, in
inches, is one side of the dollhouse floor?
2) Ms. Di Camillo is buying new carpet for her
house. She needs 1170 square feet of
carpet. The carpet she buys comes is sold
by square yards.
How many square yards of carpet did she buy?
Show work
a) 12
b) 38
c) 72
d) 144
3) Which has the greater volume?
4) The sides of the cube measure 2.5 feet.
Room A – 185 yd3
a) Find the volume of the cube.
Room B – 4, 725 ft3
2.5
ft.
b) Write the volume as cubic inches.
5) The sides of the cube measure 18 inches.
6) The sides of Revital’s room measure
15 in x 24 in.
a) Find the volume of the cube.
a) Find the area of the rectangle
18 in.
b) What is the volume in cubic feet?
24 in.
15 in.
b) What is your answer in square feet?
7) Harry’s floor is 4 yards long by 3 yards wide. 8) Carlos used 4 cubic yards
of sand to fill his sandbox.
a) Find the area of the floor
How many cubic feet of
sand are in 4 cubic yards?
1 cubic yard = 27 cubic feet
b) He wishes to cover the floor with 1 square
foot tiles. Write your answer in square feet to
find the number of tiles needed.
a) 9
b) 12
c) 64
d) 108
9) What is the volume in cubic inches of a
rectangular prism that has a length of 1
foot, a width of 0.5 feet, and a height of
0.25 feet?
10) The sides of the cube measure 12 feet.
Find the volume of the cube
0.25 ft.
1 ft.
12 ft.
0.5 ft.
Write your answer in cubic yards
11)
CHALLENGE QUESTION
Which statement below is true?
Show work or explain:
a) 5 yd3 = 15 ft3
b) 10 ft3 = 17, 280 in3
c) 4 yd3  80 ft3
d) 3, 800 in3  2 ft3
Measurement Day 3: Converting Units of Volume and Area
1) What is the surface area in square inches of a rectangular prism that has a length
of 0.5 feet, a width of 1 foot, and a height of 0.25 feet?
2) What is the volume in cubic meters of a rectangular prism that has a length of
0.05m, a width of 0.18m, and a height of 0.22m?