Answer:
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
<u>Now, According to question</u>
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