Question

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm. Which expression represents the volume of the pyramid?

Answer 1

$\frac{ {x}^{2}(x + 2) }{3}$

Step-by-step explanation:

$Given, \: \: \:side \: \: of \: \: base = x \: cm \: \: \: and \: \: \: heigth = (x + 2) \: cm \\ we \: \:know \: \: \boxed{volume \: \: of \: \: pyramid = \frac{1}{3} \times area \: \: of \: \: base \times heigth } \\ Now, \: \: \: volume \: \: of \: \: square \: \: pyramid = \frac{1}{3} \times {x}^{2} \times (x + 2) \\ = \frac{ {x}^{2}(x + 2) }{3}$