show me many examples of volume of cube with question and answer
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show me many examples of volume of cube with question and answer
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Mathematics
2 years
2021-07-19T05:02:55+00:00
2021-07-19T05:02:55+00:00 1 Answers
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Cube:
A cube is a three-dimensional figure with 6 square faces. It has 6 faces, 8 vertices and 12 edges. The basic formulae related to a cube are:
➡ Lateral Surface Area = 4a²
➡ Total Surface Area = 6a²
➡ Volume = a³
Here we will be emphasizing on the volume formula which is a³.
Examples:
Example 1:
A toy cube has a side of length 5 cm. Find its volume.
Side, a = 5 cm
Volume = a³
Volume = 5³
= 5 x 5 x 5
= 125 cm³
The volume of the toy cube is 125 cm³.
Example 2:
Soil is dug out of a cubical pit of height 10 m. Find the volume of soil dug out.
Side/Height, a = 9 m
Volume = a³
Volume = 9³
= 9 x 9 x 9
= 720 m³
The volume of soil dug out of 720 m³.
Example 3:
Find the amount of water, a cubical swimming pool of dimensions 10 m x 10 m x 10 m.
Dimensions of the swimming pool = 10 m x 10 m x 10 m
Volume = a³
Volume = 10³
= 10 x 10 x 10
= 1000 m³
The amount of water that the cubical swimming pool can hold is 1000 m³.
Example 4:
A huge cubical box of side 6 cm is made up of cubes of side 1 cm. Find the number of smaller cubes the larger cube can hold.
Side of smaller cube = 1 cm
Volume = a³
Volume = 1³ = 1 cm³
Side of larger cube = 6 cm
Volume = a³
Volume = 6³ = 216 cm³
No. of smaller cubes the large cube can hold:
= 216 cubes
The huge cube can hold 216 smaller cubes.
Example 5:
Find the volume of a large cubical box of dimensions 80 cm x 80 cm x 80 cm.
Side, a = 80 cm
Volume = a³
Volume = 80³
= 80 x 80 x 80
= 512000 cm³
The volume of the cardboard box is 512000 cm³.
Volume:
The volume of any three dimensional figure refers to the amount of material used to make the figure/the amount of material that can be stored inside the figure.
Volume is represented as cm³ or m³.