Question

practice solving for the volume of right and oblique prisms. the figure below is a right rectangular prism. which expression represents the volume of the prism? options: $\frac{1}{2}x^{3}$, $left(\frac{1}{2}x
ight)^{3}$, $\frac{5}{2}x^{3}$, $left(\frac{5}{2}x
ight)^{3}$

Explanation:

Step1: Recall volume formula for prism

Volume of a rectangular prism: $V = l \times w \times h$

Step2: Identify prism dimensions

Length $l = x$, width $w = x$, height $h = \frac{1}{2}x$

Step3: Substitute into volume formula

$V = x \times x \times \frac{1}{2}x = \frac{1}{2}x^3$

Answer:

$\frac{1}{2}x^3$