show me many examples of volume of cube with question and answer​

Question

show me many examples of volume of cube with question and answer​

in progress 0
Katherine 10 months 2021-07-19T05:02:55+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-19T05:04:48+00:00

    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:

    \sf{\longrightarrow\:\dfrac{Volume\:of\:larger\:cube}{Volume\:of\:smaller\:cube}}

    \sf{\longrightarrow\:\dfrac{216}{1}}

    = 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.

Leave an answer

Browse

9:3-3+1x3-4:2 = ? ( )