8
Solve for volume in this problem about a storage container.
Example:
Stow-It Storage offers new storage solutions for busy customers. Customers fill a
cube-shaped storage unit measuring 6 feet per side. The company then picks up the unit and
stores it in a warehouse. What is the volume of the storage unit?
V = s
3
Substitute the values into the formula and solve.
= 6 • 6 • 6
Remember, the
exponent tells you
= 216 cubic feet
how many times
the number is
Answer: The volume of the storage unit is 216 cubic feet.
used as a factor.
Check: You know 6
6 is 36. Use front-end estimation for the final step:
6 = 180. The answer 216 cubic feet makes sense.
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S K I L L P R A C T I C E
Solve each problem.
1.
4.
To reach an underground methane gas
What is the volume of the cardboard box
well, workers dig a rectangular hole 6
in cubic inches?
feet wide, 8 feet long, and 9 feet deep.
How many cubic feet of dirt do they
remove from the hole?
14 in
2.
The height of a cube is 3.5 centimeters.
Find the volume of the cube in cubic
36 in
centimeters.
1.5 ft
3.
A storage unit has 243 cubic feet of
space. What is the volume of the unit in
cubic yards? (Hint: First figure out the
number of cubic feet in a cubic yard.)
P R O B L E M S O L V E R
C o n n e c t i o n
Before solving a formula problem, ask yourself, “Which answers don’t make sense?”
You can often eliminate some answer choices using common sense.
3
Example:
A train traveled 120 km per hour for 2 hours. How many miles did it travel?
4
(1) 160
(4) 330
(2) 220
(5) 360
(3) 240
Think: The train traveled between 2 and 3 hours. If it averaged 120 km per hour for 2 hours,
it would have traveled 240 km. Using common sense, you know that choices (1), (2), and (3)
are too low to be correct.
Suppose the train traveled for 3 hours. Multiply 120 by 3.
Which answer choice can you
eliminate? Which answer choice must be correct?
Answers and explanations start on page 320.
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