Question

an oblique prism has a base area of 3x² square units. what expression represents the volume of the prism, in cubic units? 15x² 24x² 36x² 39x²

Explanation:

Step1: Recall volume formula

The volume formula for a prism is $V = B\times h$, where $B$ is the base - area and $h$ is the height.

Step2: Identify base - area and height

Given that the base area $B = 3x^{2}$ square units and the height $h = 13$ units.

Step3: Calculate the volume

Substitute $B = 3x^{2}$ and $h = 13$ into the volume formula: $V=3x^{2}\times13 = 39x^{2}$ cubic units.

Answer:

$39x^{2}$