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 = [tex]b_1[/tex] = 2 unit
The length of other base = [tex]b_2[/tex] = 3 unit
Let The height of the prism = h unit
Now, According to question
Volume of prism = [tex]\dfrac{1}{2}[/tex] × [tex]b_1[/tex] × [tex]b_2[/tex]× height
Or, v = [tex]\dfrac{1}{2}[/tex] × [tex]b_1[/tex] × [tex]b_2[/tex]× h
Or, 21 cubic unit = [tex]\dfrac{1}{2}[/tex] × 2 unit × 3 unit × h unit
Or, 21 = [tex]\dfrac{1}{2}[/tex] × 6 × h
Or, 21 = 3 × h
∴ h = [tex]\dfrac{21}{3}[/tex]
i.e h = 7 unit
So,The height of the prism = h = 7 unit
Hence, The height of the prism is 7 unit Answer
Answer:
The base (b) of the triangle is
✔ 3
units.
The height (h) of the triangle is
✔ 5
units.
The area of the triangle is
✔ 7.5
square units.
Step-by-step explanation:
