a box is to be constructed with a rectangular base and a height of h cm. the length, l, of the box is 10 cm, and the width, w, is twice the height. which quadratic equation best models the volume of the box? a:v=20h b:v=20h^2 c:v=100h d:v=100h^2 is it a? i just want to be sure.

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2016-08-04T02:58:51-04:00

Volume of box = length x width x height
Volume of box = 10 x 2h x h = 20h^2

The answer is b, not a.

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PallaviB PallaviB · Answer 2 · 2022-06-23T10:08:20-04:00

The quadratic equation which best models the volume of the box is in option \((b)\) i.e. \(20h^2\) .

Volume of a cuboid is equal to the amount of space occupied by the shape of cuboid.

Volume of a cuboid \(= Length\ *\ Breadth\ *\ Height\)

We have,

Length of box \(=10\ cm\),

Height of box \(=h\ cm\)

Breadth of box \(=2h\ cm\)

So,

Volume of a cuboid \(= Length\ *\ Breadth\ *\ Height\)

Volume of a cuboid \(=10\ *\ h\ *\ 2h\)

\(=20\ *\ h^2\)

\(=20h^2\)

So, the quadratic equation which best models the volume of the box is \(20h^2\) , which is find out using Volume of a cuboid formula .

Hence, we can say that the quadratic equation which best models the volume of the box is in option \((b)\) i.e. \(20h^2\) .

To know more about Volume of a cuboid click here

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