Question

an oblique prism is created using rhombuses with edge lengths of 25 units. the area of one rhombus is 600 square units. the perpendicular distance between the bases is 24 units. what is the volume of the prism? \bigcirc 14,400 cubic units \bigcirc 15,000 cubic units \bigcirc 29,400 cubic units \bigcirc 36,000 cubic units

Explanation:

Step1: Recall the volume formula for a prism

The volume formula for a prism is \(V = B\times h\), where \(B\) is the area of the base and \(h\) is the height (perpendicular distance between the bases).

Step2: Identify the values of \(B\) and \(h\)

Given that the area of the rhombus (base) \(B = 600\) square units and the perpendicular distance between the bases \(h=24\) units.

Step3: Calculate the volume

Substitute \(B = 600\) and \(h = 24\) into the formula \(V=B\times h\). So \(V=600\times24\).

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Answer:

14,400 cubic units