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 · 2016-08-04T08:58:51+02:00

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 · 2022-06-23T16:08:20+02:00

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

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

Volume of a cuboid [tex]= Length\ *\ Breadth\ *\ Height[/tex]

We have,

Length of box [tex]=10\ cm[/tex],

Height of box [tex]=h\ cm[/tex]

Breadth of box [tex]=2h\ cm[/tex]

So,

Volume of a cuboid [tex]= Length\ *\ Breadth\ *\ Height[/tex]

Volume of a cuboid [tex]=10\ *\ h\ *\ 2h[/tex]

[tex]=20\ *\ h^2[/tex]

[tex]=20h^2[/tex]

So, the quadratic equation which best models the volume of the box is [tex]20h^2[/tex] , 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 [tex](b)[/tex] i.e. [tex]20h^2[/tex] .

To know more about Volume of a cuboid click here

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