Solved Examples and Worksheet for Volumes of Right Rectangular Prisms

Q1Find the volume of a box, which is in the form of a rectangular prism, with a length of 5 in., a height of 3 in. and width of 7 in.
A. 105 in.3
B. 35 in.3
C. 115 in.3
D. 110 in.3

Solutions
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Step: 1
Volume of a rectangular prism = Length × Width × Height
Step: 2
= 5 × 7 × 3
  [Substitute the values.]
Step: 3
= 105 in.3
  [Multiply.]
Step: 4
So, the volume of the rectangular prism = 105 in.3
Correct Answer is :   105 in.3
Q2The length, width and height of a rectangular box are 9 in., 7 in. and 6 in. respectively. What is its volume?
A. 378 in.3
B. 54 in.3
C. 388 in.3
D. 373 in.3

Solutions
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Step: 1
Volume of the rectangular box = Length × Width × Height
Step: 2
= 9 × 7 × 6
  [Substitute the values.]
Step: 3
= 378 in.3
  [Multiply.]
Step: 4
So, the volume of the rectangular box is 378 in.3
Correct Answer is :   378 in.3
Q3A water tank is 90 yd long and 60 yd wide. If the depth of water is 30 yd, then what is the volume of the water in the tank?
(Volume = l × w × h)
A. 161000 yd3
B. 162000 yd3
C. 163000 yd3
D. None of the above

Solutions
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Step: 1
Length of the water tank = 90 yd.
Step: 2
Width of the water tank = 60 yd.
Step: 3
The height of the water level = 30 yd.
Step: 4
Volume of water in the tank = length × width × depth.
Step: 5
= 90 × 60 × 30
  [Substitute l = 90, w = 60 and h = 30.]
Step: 6
= 162000 yd3
  [Multiply 90, 60 and 30.]
Step: 7
Volume of water in the tank is 162000 yd3.
Correct Answer is :   162000 yd3
Q4Diane bought a rectangular box of ice cream. The box measures 40 cm long, 30 cm wide, and 7 cm high. Find the volume of the box.

A. 8410 cubic cm
B. 8390 cubic cm
C. 8400 cubic cm
D. 8395 cubic cm

Solutions
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Step: 1
The volume of a rectangular box = length × height × width
  [Formula.]
Step: 2
The volume of the box of ice-cream = 40 × 30 × 7
  [Substitute the values.]
Step: 3
= 8400
  [Multiply.]
Step: 4
The volume of the box = 8400 cubic cm.
Correct Answer is :   8400 cubic cm
Q5A water tank is 90 ft long and 60 ft wide. If the depth of water is 30 ft, then what is the volume of the water in the water tank?

A. 163000 ft3
B. 161000 ft3
C. 162000 ft3
D. None of the above

Solutions
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Step: 1
Length of the water tank = 90 ft.
Step: 2
Width of the water tank = 60 ft.
Step: 3
The height of the water level = 30 ft.
Step: 4
Volume of water in the water tank = length × width × depth.
Step: 5
= 90 × 60 × 30
  [Substitute l = 90, w = 60 and h = 30.]
Step: 6
= 162000 ft3
  [Multiply 90, 60 and 30.]
Step: 7
Volume of water in the water tank is 162000 ft3.
Correct Answer is :   162000 ft3
Q6The length, width and height of a rectangular box are 9 in., 4 in. and 5 in. What is its volume?
A. 190 in.3
B. 45 in.3
C. 180 in.3
D. 175 in.3

Solutions
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Step: 1
Volume of the rectangular box = Length × Width × Height
Step: 2
= 9 × 4 × 5
  [Substitute the values.]
Step: 3
= 180 in.3
  [Multiply]
Step: 4
So, the volume of the rectangular box is 180 in.3
Correct Answer is :   180 in.3
Q7What is its volume of the rectangular prism shown? [a = 45, b = 60, c = 35.]

A. 2700 in.3
B. 6375 in.3
C. 94500 in.2
D. 94500 in.3

Solutions
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Step: 1
Volume of rectangular prism = length × width × height
  [Formula.]
Step: 2
= 60 × 45 × 35
  [Substitute the values.]
Step: 3
= 94500
  [Multiply.]
Step: 4
The volume of the rectangular prism is 94500 in.3
Correct Answer is :   94500 in.3
Q8Find the volume of a box, which is in the form of a rectangular prism, with a length of 3 in., a height of 2 in. and width of 5 in.
A. 30 in.3
B. 35 in.3
C. 15 in.3

Solutions
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Step: 1
Volume of a rectangular prism = Length × Width × Height
Step: 2
= 3 × 5 × 2
  [Substitute the values.]
Step: 3
= 30 in.3
  [Multiply.]
Step: 4
So, the volume of the rectangular prism = 30 in.3
Correct Answer is :   30 in.3
Q9The length, width and height of a rectangular box are 20 in., 4 in. and 8 in. respectively. What is its volume?
A. 650 in.3
B. 160 in.3
C. 640 in.3

Solutions
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Step: 1
Volume of the rectangular box = Length × Width × Height
Step: 2
= 20 × 4 × 8
  [Substitute the values.]
Step: 3
= 640 in.3
  [Multiply.]
Step: 4
So, the volume of the rectangular box is 640 in.3
Correct Answer is :   640 in.3
Q10The length of a packing box is 33 cm, width = 14 cm and height = 19 cm. What is the volume of the packing box?

A. 8878 cm3
B. 8788 cm3
C. 8778 cm3
D. 8828 cm3

Solutions
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Step: 1
The length of the packing box = 33 cm
Step: 2
The width of the packing box = 14 cm
Step: 3
The height of the packing box = 19 cm
Step: 4
Volume of the packing box = length × width × height
Step: 5
= 33 × 14 × 19
  [Substitute length = 33, width = 14, and height = 19.]
Step: 6
= 8778
  [Simplify.]
Step: 7
So, volume of the packing box is 8778 cm3.
Correct Answer is :   8778 cm3

HighSchool Math