Solved Examples and Worksheet for Selecting Appropriate Quantities for Descriptive Modeling

Q1What would be the most reasonable unit to measure the perimeter of a hexagon?

A. cm2
B. cm3
C. ft2
D. cm

Solutions
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Step: 1
The perimeter of a hexagon is the sum of the lengths of all the sides of the hexagon.
Step: 2
cm2, ft2 are the units of area and cm3 is the unit of volume.
Step: 3
So, the most reasonable unit to measure the perimeter of the hexagon is cm.
Correct Answer is :   cm
Q2Identify the appropriate unit of measure for the surface area of a rectangular box.

A. meter
B. centimeter
C. square meter
D. cubic centimeter

Solutions
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Step: 1
The surface area of a rectangular box is the sum of the areas of all the faces of the box.
Step: 2
Area measured in square units.
Step: 3
So, the appropriate unit of measure for the surface area of a rectangular box is square meter.
Correct Answer is :   square meter
Q3Identify the statement that relates to the perimeter.
A. Length of a circular running track
B. The number of floor tiles needed to cover a room
C. Amount of water in a swimming pool
D. The carpet needed to cover a room

Solutions
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Step: 1
"The carpet needed to cover a room" is related to area.
Step: 2
"The number of floor tiles needed to cover a room" is related to area.
Step: 3
"Length of a circular running track" is related to perimeter.
Step: 4
"Amount of water in a swimming pool" is related to volume.
Step: 5
"Therefore the length of a circular running track is related to perimeter.
Correct Answer is :   Length of a circular running track
Q4Choose from the following, the metric unit with which you measure the weight of bread.

A. grams
B. centimeters
C. kilometers
D. milligrams

Solutions
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Step: 1
The unit milligram is used to measure too small weights.
Step: 2
The unit gram is used to measure neither too small nor too large weights.
Step: 3
So, the best metric unit to measure the weight of bread is grams.
Correct Answer is :   grams
Q5Which one of these is a reasonable unit to measure the weight of a bag of mangoes?

A. milliliters
B. grams
C. liters
D. kilograms

Solutions
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Step: 1
The unit used to measure a bag of mangoes is kilogram.
Correct Answer is :   kilograms
Q6Which one of these is a reasonable unit to measure the weight of a spoon?

A. gram
B. kilogram
C. liter
D. milliliter

Solutions
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Step: 1
Liter and milliliter are the units of capacity.
Step: 2
Kilogram is a unit of weight, but it is too big to measure the weight of a spoon.
Step: 3
The reasonable unit used to measure the weight of a spoon is 'gram'.
Correct Answer is :   gram
Q7When we are talking about the 'amount of soup in a bowl', what are we refering to?

A. perimeter
B. length
C. volume
D. area

Solutions
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Step: 1
Volume is used to measure the quantity of liquid in a container.
Step: 2
So, we can refer to volume to measure the amount of soup in a bowl.
Correct Answer is :   volume
Q8Ted wants the cover one wall of his bedroom with a wallpaper. Which of the following measurements should he keep in mind while choosing the size of the wallpaper?
A. area
B. length
C. perimeter
D. volume

Solutions
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Step: 1
Area is used to measure the region occupied by the two-dimensional figure.
Step: 2
So, Ted can use the area to measure the size of the walls paper to cover one of the wall of his bedroom.
Correct Answer is :   area
Q9John is walking along a circular flower garden. Which of the following measurements will help him find the distance covered?

A. volume
B. length
C. area
D. circumference

Solutions
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Step: 1
The shape of the garden is circle.
Step: 2
Therefore, the distance covered by John = the circumference of the circle.
Correct Answer is :   circumference
Q10Paula wants to transfer the entire amount of oil in a container to another. Which of the following should she keep in mind while choosing the second container?

A. area
B. volume
C. length
D. circumference

Solutions
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Step: 1
Volume is used to measure the quantity of liquid in a container.
Step: 2
So, Paula can use volume to measure the second container in order to transfer the entire amount of oil from first container to second.
Correct Answer is :   volume
Q11Brian wants to cover a cylinder with a color paper. Which of the following measurements should he keep in mind while choosing the color paper?

A. volume of the cylinder
B. circumference of the base of the cylinder
C. Surface area of the cylinder.
D. thickness of the cylinder

Solutions
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Step: 1
Surface area of the cylinder measures the curved surface area of the cylinder and also the top and bottom circles areas.
Step: 2
So, Brian can use Surface area of the cylinder to measure the color paper that is used to cover the cylinder.
Correct Answer is :   Surface area of the cylinder.
Q12Peter wants to cover the rear side of a photoframe with a cardboard. Identify the appropriate measurement that should match between the photoframe and the cardboard.
A. thickness of the photoframe
B. circumference of the rear side of the photoframe
C. volume of the photoframe
D. area of the rear side of the photoframe

Solutions
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Step: 1
Area is used to measure the region occupied by the two-dimensional figure.
Step: 2
So, Peter can use the area of the rear side of the photo frame to cover it with a cardboard.
Correct Answer is :   area of the rear side of the photoframe
Q13Which of the following is the best unit to measure the capacity of a medium sized car's fuel tank?

A. centimeters
B. kilograms
C. liters
D. grams

Solutions
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Step: 1
Among the given choices, the appropriate unit to measure the capacity of a medium sized car's fuel tank is 'liters'.
Correct Answer is :   liters
Q14Which of the following can be expressed in milliliters?

A. water in a lake
B. petrol in petrol truck
C. water in a swimming pool
D. milk in a teaspoon

Solutions
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Step: 1
A milliliter is used to measure a very small amount of liquid.
Step: 2
Among the given choices, milk in a teaspoon is measured in milliliters.
Correct Answer is :   milk in a teaspoon

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