Question

Find the value of x in the figure below if the volume is 432 ft3.

A. x = 18

B. x = 36

C. x = 9

D. x = 27

Answer 1

A.
`\displaystyle x = 18`

Step-by-step explanation:

`\displaystyle whl = V → [4][6][x] = 432 \\ \\ (432)/(24) = (24x)/(24) \\ \\ 18 = x`

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Answer 2

The value of x is 18 ft

Explanation:

The dimension of the box,

Length, l = x ft

Breadth, b = 4 ft

Height, h = 6 ft

The shape of box is cuboid. The volume of cuboid is lbh

Volume of cuboid (Box) = length × breadth × height

Volume of box = 432 ft³

`lbh=432`

`x* 4* 6=432`

`x=(432)/(24)`

`x=18`

hence, the value of x is 18 ft