A CUBOID WITH DIMENSIONS 28 cm, BY ,x ,cm BY 15 cm HAS VOLUME OF 6720 CUBIC CENTIMETER.
FIND MISSING BREADTH ,THEN WORKOUT

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A CUBOID WITH DIMENSIONS 28 cm, BY ,x ,cm BY 15 cm HAS VOLUME OF 6720 CUBIC CENTIMETER.
FIND MISSING BREADTH ,THEN WORKOUT SURFACE AREA OF CUBOID.​

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  1. Answer:

    • Breadth of the cuboid = 16 cm
    • Total surface area of the cuboid = 2216 cm²

    Step-by-step explanation:

    Given that:

    • Dimensions of a cuboid are 28 cm, x cm and 15 cm.
    • Volume of the cuboid is 6720 cm³.

    To Find:

    • Breadth of the cuboid.
    • Surface area of the cuboid.

    Solution:

    As we know that,

    • Volume of a cuboid = (length × breadth × height) cubic units

    Substituting the values,

    [tex]\rm{\longmapsto6720=28\times x\times15}[/tex]

    [tex]\rm{\longmapsto6720=420x}[/tex]

    [tex]\rm{\longmapsto\dfrac{6720}{420}=x}[/tex]

    [tex]\rm{\longmapsto16=x}[/tex]

    [tex]\rm{\longmapsto x = 16}[/tex]

    Hence,

    • x = 16

    Therefore,

    • Breadth of the cuboid is 16 cm.

    Now,

    As we know that,

    • Total surface area of cuboid = 2(lb + bh + lh) sq. units

    Substituting the values,

    [tex]\sf{\longmapsto2\{(28\times16)+(16\times15)+(28\times15)\}}[/tex]

    [tex]\sf{\longmapsto2\{448+240+420\}}[/tex]

    [tex]\sf{\longmapsto2\times1108}[/tex]

    [tex]\sf{\longmapsto2216}[/tex]

    Hence,

    • Total surface area of cuboid is 2216 cm².

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