Question

the inner circle of stonehenge had 5 sets of pillars with lintels. the volume of one pillar is 462 cubic feet and the volume of one lintel is 144 cubic feet. select all the equations that represent the total volume of the 5 sets. v = 5 × 606; v = 5 × (2 × 144 + 462); v = 10 × 144 + 5 × 462; v = 10 × 462 + 5 × 144; v = 5 × (2 × 462 + 144)

Explanation:

Step1: Analyze one set's components

Each set has 2 lintels (volume 144 each) and 1 pillar (volume 462). So one set's volume: \(2\times144 + 462\). Total for 5 sets: \(V = 5\times(2\times144 + 462)\) (matches second option). Also, \(2\times144\) per set, 5 sets: \(10\times144\); 1 pillar per set, 5 sets: \(5\times462\). So \(V = 10\times144 + 5\times462\) (matches third option). And \(2\times144 + 462 = 606\), so \(V = 5\times606\) (matches first option).

Step2: Check other options

Fourth option: \(10\times462\) (wrong, pillars are 5 sets ×1, not 10). Fifth option: \(2\times462\) (wrong, lintels are 2 per set, not pillars).

Answer:

• \(V = 5\times606\)
• \(V = 5\times(2\times144 + 462)\)
• \(V = 10\times144 + 5\times462\)