an oblique prism is created using rhombuses with edge lengths of 25 units. the area of one rhombus is 600…
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? 14,400 cubic units 15,000 cubic units 29,400 cubic units 36,000 cubic units
Answer
Explanation:
Step1: Recall volume - prism formula
The volume formula for a prism is $V = B\times h$, where $B$ is the base - area and $h$ is the height (perpendicular distance between the bases).
Step2: Identify base - area and height
We are given that the area of the base (a rhombus) $B = 600$ 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, $V=600\times24 = 14400$ cubic units.
Answer:
14,400 cubic units