Solved Examples and Worksheet for Measuring Volumes by Counting Unit Cubes - Different Cubic Units

Q1Find the volume of the figure. Each small cube measures 1 cm3.

A. 6 cm3
B. 12 cm3
C. 14 cm3
D. 10 cm3

Solutions
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Step: 1
Volume of the cube = number of cubes × volume of each cube
Step: 2
= 12 × 1 cm3
Step: 3
= 12 cm3
  [Multiply.]
Step: 4
Therefore, the volume of the figure = 12 cm3.
Correct Answer is :   12 cm3
Q2What could be the volume of the following shape?

A. 6 cubic cm
B. 14 cubic cm
C. 12 cubic cm
D. 8 cubic cm

Solutions
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Step: 1
Volume of the shape = number of units × volume of each unit.
Step: 2
Volume = 12 × 1 cubic cm = 12 cubic cm.
Correct Answer is :   12 cubic cm
Q3What could be the volume of the following shape?


A. 16 cubic cm
B. 20 cubic cm
C. 18 cubic cm
D. 17 cubic cm

Solutions
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Step: 1
Volume of the shape = number of units × volume of each unit
Step: 2
Volume = 16 × 1 cubic cm = 16 cubic cm.
Correct Answer is :   16 cubic cm
Q4Estimate the volume of the shape.


A. 14 cubic cm
B. 16 cubic cm
C. 12 cubic cm
D. 10 cubic cm

Solutions
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Step: 1
Volume of the shape = number of units × volume of each unit.
Step: 2
Volume = 12 × 1 cubic cm = 12 cubic cm.
Correct Answer is :   12 cubic cm
Q5Find the volume of the figure shown.

A. 1 cubic unit
B. 8 cubic units
C. 11 cubic units
D. 10 cubic units

Solutions
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Step: 1
The figure is composed of 10 cubes.
Step: 2
Volume of each cube = l × w × h
  [Formula.]
Step: 3
= 1 × 1 × 1 = 1 cubic unit
  [Substitute and multiply.]
Step: 4
So, the volume of the figure is 10 × 1 = 10 cubic units.
Correct Answer is :   10 cubic units
Q6What could be the volume of the following shape?


A. 4 cubic units
B. 9 cubic units
C. 12 cubic units

Solutions
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Step: 1
Volume of the solid = number of units × volume of each unit.
Step: 2
Volume = 12 × 1 cubic unit = 12 cubic units.
Correct Answer is :   12 cubic units
Q7Find the volume of the following shape.


A. 4 cubic units
B. 9 cubic units
C. 10 cubic units

Solutions
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Step: 1
Volume of the solid = number of units × volume of each unit
Step: 2
= 10 × 1 cubic unit = 10 cubic units
Correct Answer is :   10 cubic units
Q8Find the volume of the figure. Each small cube measures 1 cm3.

A. 9 cm3
B. 6 cm3
C. 14 cm3

Solutions
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Step: 1
Volume of the cube = number of cubes × volume of each cube
Step: 2
= 9 × 1 cm3
Step: 3
= 9 cm3
  [Multiply.]
Step: 4
Therefore, the volume of the cube = 9 cm3.
Correct Answer is :   9 cm3
Q9Find the volume of the following shape.

A. 10 cubic cm
B. 9 cubic cm
C. 4 cubic cm
D. 6 cubic cm

Solutions
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Step: 1
Volume of the solid = number of cm × volume of each unit
Step: 2
= 10 × 1 cubic unit = 10 cubic cm
Correct Answer is :   10 cubic cm
Q10Determine the volume of the following shape.

A. 16 cubic cm
B. 14 cubic cm
C. 15 cubic cm
D. 19 cubic cm

Solutions
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Step: 1
Volume of the shape = number of units × volume of each unit
Step: 2
= 16 × 1 cubic cm = 16 cubic cm
Correct Answer is :   16 cubic cm
Q11Find the volume of the solid shown in the figure. Each small cube measures 1 cm3.

A. 8 cm3
B. 4 cm3
C. 14 cm3
D. 6 cm3

Solutions
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Step: 1
Volume of the solid shown in the figure = Number of cubes × Volume of each cube
Step: 2
= 4 × 1 cm3
Step: 3
= 4 cm3
  [Multiply.]
Step: 4
Therefore, the volume of the solid shown in the figure is 4 cm3.
Correct Answer is :   4 cm3

HighSchool Math