the total surface area of this cuboid is 112cm squared find the value of x length 10 width 2 he

Question

the total surface area of this cuboid is 112cm squared find the value of x

length 10

width 2

height ??

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Jade 6 days 2021-10-14T01:37:22+00:00 1 Answer 0

Answers ( )

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    2021-10-14T01:38:56+00:00

    Answer:

    The height of cuboid is 3 cm

    Step-by-step explanation:

    Total surface area of cuboid  = 2lb+2bh+2hl

    Length of cuboid = 10 cm

    Width of cuboid = 2 cm

    Let the height be x

    Total surface area of cuboid  = 2(10)(2)+2(2)(x)+2(x)(10)

    Total surface area of this cuboid is 112 cm squared

     2(10)(2)+2(2)(x)+2(x)(10)=112

    40+4x+20x=112

    40+24x=112

    24x=112-40

    24x=72

    x=\frac{72}{24}

    x=3

    Hence the height of cuboid is 3 cm

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