Question

A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28

cm, which quadratic equation best models the volume of the box?
V = lwn
P = 2(1 + w)
y = 5(28 - x)(x)
y = 5(28 - 2x)(x)
y = 5(14 - x)(x)
y = 5(14 - 2x)(x)

Answer 1

y = 5(14 – x)(x)

Explanation:

egde 2021

Answer 2

`y=5(14-x)x`

Explanation:

Given: Height of the box is 5 cm

The rectangular base of the box has perimeter of 28 cm.

To find: Volume of the box

Solution:

Let l, b, h denote length, breadth and height of the box.

Let
`l=x`

Perimeter of the rectangular base of the box =
`2(l+b)`

`28=2(x+b)\\14=x+b\\b=14-x`

Therefore,
`l=x,b=14-x,h=5`

Volume of box =
`lbh=x(14-x)5=5(14-x)x`