Question

Using V = lwh, what is an expression for the volume of the following rectangular prism?

The dimensions of a prism are shown. The height is StartFraction 5 Over 2 x + 8 EndFraction. The depth is StartFraction x + 4 Over 4 EndFraction. The length is StartFraction 12 Over x EndFraction.
StartFraction 15 Over 2 x EndFraction
StartFraction 3 x + 12 Over 2 x + 8 EndFraction
StartFraction 15 Over 2 x + 2 EndFraction
Fifteen-eighths

Answer 1

A

Explanation:

Answer 2

Volume of the rectangular prism is given by,

`\frac {15}{2x}` unit .

Explanation:

According to the question,

height of the prism =
`\frac {5}{2x + 8}` unit = h (say)

depth of the prism =
`\frac {x + 4}{4}` unit = w (say)

length of the prism =
`\frac {12}{x}` unit = l (say)

So,

the volume of the rectangular prism,

V = lwh

=
`\frac {5}{2x + 8} * \frac {x + 4}{4} * \frac {12}{x}` unit

=
`\frac {15}{2x}` unit