Question

a triangular prism has an equilateral base with side length x inches. the height of the prism is four times as long as the side length. what is the lateral area of the prism? 12x square inches 12x² square inches 36x square inches 36x² square inches

Explanation:

Step1: Find prism height

Height = $4x$ inches

Step2: Find base perimeter

Perimeter = $3x$ inches

Step3: Calculate lateral area

Lateral Area = Perimeter $\times$ Height = $3x \times 4x = 12x^2$

Answer:

12x² square inches