Question

The volume of the rectangular pyramid below is 1200 units^3. Find the value of x

Answer 1

Answer: 20 units

The volume of a rectangular pyramid is solved by:

`V=(lwh)/(3)`

Where:

l = length

w = width

h = height

From the given, we know that:

V = 1200 units³

l = 20

w = 9

h = x

Substitute these to the formula and solve for x:

`\begin{gathered} V=(lwh)/(3) \\ 1200=((20)(9)x)/(3) \\ 1200=(180x)/(3) \\ 3(1200)=180x \\ 3600=180x \\ x=20 \end{gathered}`

Therefore, the value of x is 20 units