A porch roof sloping at 45° accumulated snow to a depth of 30. cm. The roof measured 3.0 m × 5.0 m. If the density of snow was 15. kg/m², what was the weight of the snow, in pounds, on the roof? A) 210 lb B) 74 lb C) 148 lb D) 105 lb E) 56 lb

Question

Quizplus · Accepted Answer

First, calculate the volume of snow on the roof. Since the roof is sloping at 45°, the depth of snow (30 cm or 0.3 m) is perpendicular to the base area (3.0 m × 5.0 m = 15.0 m²), making the volume calculation straightforward: Volume = 15.0 m² × 0.3 m = 4.5 m³. The mass of the snow is then the volume multiplied by the density: Mass = 4.5 m³ × 15 kg/m³ = 67.5 kg. To convert the mass to weight in pounds, use the conversion factor 1 kg ≈ 2.20462 lb: Weight ≈ 67.5 kg × 2.20462 lb/kg ≈ 148.8 lb, which rounds to 148 lb, making the correct choice C.

A Porch Roof Sloping at 45° Accumulated Snow to a Depth