Length of side of base is 5.45
Step-by-step explanation:
- Step 1: Volume of a right prism = Area of the base × Height = 1/2 × base × height of base × height of prism
Here, since the base is an equilateral triangle and it is given that height of the prism is equal to that of the base, measures of base and height are equal.
⇒ Volume = 1/2 × b × h × h (b and h are equal)
⇒ 81 = 1/2 × b³
⇒ b³ = 162
⇒ b = ∛162 = 5.45
