The prism below has a volume of 21 cubic units. the base is a right triangle with legs that have lengths of 2 units and 3 units, find the height of the prism

The height of the prism is 7 unit  

Step-by-step explanation:

Given as :

The volume of right triangle prism = v = 21 cubic unit

The length of one base = = 2 unit

The length of other base = = 3 unit

Let The height of the prism = h unit

Now, According to question

Volume of prism = ×   ×  × height

Or, v =   ×   ×  × h

Or, 21 cubic unit =   × 2 unit × 3 unit × h unit

Or, 21 =   × 6 × h

Or, 21 = 3 × h

∴   h =

i.e h = 7 unit

So,The height of the prism = h = 7 unit

Hence, The height of the prism is 7 unit  Answer

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step-by-step explanation: