A pipe has a right prism shape with an equilateral triangle base of side 6 cm and length 40 cm. Find its water-holding capacity.
Show answer & explanation
Correct answer: C
Explanation
Given:
Side of the equilateral triangle = 6 cm
Length of the prism = 40 cm
According to the formula:
Area of an equilateral triangle = (√3 / 4) × a²
Volume of the prism = Base Area × Length
Base Area = (√3 / 4) × 6²
= (√3 / 4) × 36
= 9√3 cm²
Volume = 9√3 × 40 = 360√3 cm³
= 360 × 1.732 = 623.52 cm³