Volume of Cube:
The Cube is considered as a 3D- shape with 6 faces, 8 vertices and 12 edges. The volume of the cube can be determined as the cube of each side.
Volume of a Cube = a x a x a = a3
Volume of Cube Sample Questions:
Question 1: Calculate the volume of the cube with a side of 3.5 cm
(a) 12.5 cm3
(b) 75 cm3
(c) 42.9 cm3
(d) 3.50 cm3
Answer: (c)
Explanation: Plug the value of side in the volume of cube formula.
Question 2: What will be the side of the cube with a volume of 3375 cm3?
(a) 15 cm
(b) 1.5 cm
(c) 150 cm
(d) None
Answer: (a)
Explanation: Plug the value of volume in the volume of cube formula.
Question 3: What is the relation between diagonal length and volume of a cube?
(a) volume of cube = [√3×(diagonal)3]/6
(b) volume of cube = [√3×(diagonal)3]/4.
(c) volume of cube = [√3×(diagonal)3]/3
(d) volume of cube = [√3×(diagonal)3]/9
Answer: (d)
Explanation: Volume of Cube = [√3×(diagonal)3]/9
Question 4: Which of the following statements is incorrect?
(a) Cube has 6 faces
(b) Cube has 12 faces
(c) Cube has 8 vertices
(d) Cube has 12 edges
Answer: (b)
Explanation: Cube has 6 faces, 8 vertices and 12 edges.
Question 5: If the edge of a Rubik’s cube is 0.65 m, what will be the volume of the Rubik’s cube?
(a) 2.75 m3
(b) 0.275 m3
(c) 0.0275 m3
(d) 0.375 m3
Answer: (b)
Explanation: Plug the value of side in the volume of cube formula.
Question 6: A cubical box of external dimensions 110 mm each, also open at the top. If the cubical box is made of 5 mm wood thick, what will be the volume of the cube?
(a) 105 x 106 mm3
(b) 1050 x 106 mm3
(c) 10.5 x 106 mm3
(d) 1.05 x 106 mm3
Answer: (a)
Explanation: Length / Width = 110 – 5x 2 = 100 mm
Height = (110 – 5) mm = 105 mm
Question 7: Calculate the volume, in cm of a rectangular prism with following data:
Length = 1.65 cm
Width = 5.6 mm
Height =8.2 m
(a) 105 x 106 mm3
(b) 1050 x 106 mm3
(c) 10.5 x 106 mm3
(d) 1.05 x 106 mm3
Answer: (a)
Explanation: Plug the value of sides in the volume of cube formula.
Question 8: Identify the object with cube shape.
(a)
(b)
(c)
(d)
Answer: (d)
Explanation: Cube has 6 faces, 8 vertices and 12 edges.
Question 9: How many dice can fit in this box of 12 cm×10 cm×11 cm, if the dice are cubes with sides of length 2 cm ?
(a) 110
(b) 150
(c) 101
(d) 11
Answer: (b)
Explanation: 6 dice = on the edge of the box measuring 12 cm
5 dice = on the edge of the box measuring 10 cm
Question 10: Calculate the volume of the cube with a diagonal of 9 cm.
(a) 140 cm3
(b) 1.40 cm3
(c) 0.140 cm3
(d) 14 cm3
Answer: (a)
Explanation: Volume of the cube = (√3 × d3)/9
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Volume of Cube Frequently Asked Questions:
Question 1: How to find the volume of a cube?
A cube is a solid three-dimensional object with six square faces.The total space occupied by an object is defined as its volume.
Volume, V = (side)3 cubic units.
Question 2: The side length, s, of a cube is x – 2y. if v = s3, what is the volume of the cube?
Question 3: The side length, s, of a cube is 3x + 2y. if v = s3, what is the volume of the cube?
