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    how many solid cubes of 3 cm edge can be cut out of a solid cube of 18 cm edge?

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    How many solid cubes of 3 cm edge can be cut out of a solid cube of 18 cm edge?A. 232B. 216C. 484D. 36

    How many solid cubes of 3 cm edge can be cut out of a solid cube of 18 cm edge?A. 232B. 216C. 484D. 36

    Byju's Answer Standard VIII Mathematics Volume of a Cube How many soli... Question

    How many solid cubes of 3 cm edge can be cut out of a solid cube of 18 cm edge?

    A 36 B 232 C 216 D 484 Open in App Solution

    The correct option is B 216

    Given, edge length of the larger cube = 18 cm

    and, edge length of the smaller cube = 3 cm

    The volume is the space occupied by a body .So cutting an object does not change its volume.

    So, number of smaller cubes × volume of each smaller cube = volume of the larger cube

    Let 'n' be the number of smaller cubes.

    Then, n =

    volume of larger cube

    volume of a smaller cube

    We know, volume of a cube of side 'a' is

    a 3 . ⇒ n = 18 × 18 × 18 3 × 3 × 3 ∴ n = 216

    So, the number of solid cubes of 3 cm that can be cut out of a solid cube of 18 cm is 216.

    Volume of a Cube

    Standard VIII Mathematics

    Suggest Corrections 3

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    स्रोत : byjus.com

    [Solved] How many cubes of 3 cm edge can be cut out from a cube of 18

    Given: The edge length of cube = 3 cm Formula used: Volume of cube = (side)3 Calculation: Let the number of cubes that can be cut from bigger cube be N An

    Home Quantitative Aptitude Mensuration

    Question

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    How many cubes of 3 cm edge can be cut out from a cube of 18 cm edge?

    216 27 125 64

    Answer (Detailed Solution Below)

    Option 1 : 216

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    Detailed Solution

    Download Solution PDF

    Given:

    The edge length of cube = 3 cm

    Formula used:

    Volume of cube = (side)3

    Calculation:

    Let the number of cubes that can be cut from bigger cube be N

    And we know that,

    N × Volume of smaller cube = Volume of bigger cube

    ⇒ N × (3)3 = (18)3 ⇒ N = (18)3/(3)3 ⇒ N = 216

    ∴ Number of cubes that can be cut from bigger cube is 216.

    Download Solution PDF

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    स्रोत : testbook.com

    How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge?

    Click here👆to get an answer to your question ✍️ How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge?

    Question

    How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge?

    A

    36

    B

    216

    C

    218

    D

    432

    Hard Open in App Solution Verified by Toppr

    Correct option is B)

    Given,

    Edge of large cube =18cm.

    Edge of small cube $$=3cm$.

    We know, volume of a cube V=a

    3

    , where a is the edge of the cube.

    Then,

    Volume of large cube =(18)

    3 =5832cm 3 .

    Volume of small cube =(3)

    3 =27cm 3 .

    Now, Number of cubes =

    Volume of small cube

    Volume of large cube

    ​ = 27 5832 ​ =216.

    Hence, 216 cubes can be cut out from the cube of 18cm edge.

    Thus, option B is correct.

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