2m³ of pine planks were purchased for wooden flooring. Determine how many boards 6m long, 10 cm wide

2m³ of pine planks were purchased for wooden flooring. Determine how many boards 6m long, 10 cm wide, 27mm thick the buyer has. Find the mass of one board if the density of pine = 0.5 g / cm³

V = 2 m ^ 3,
a = 6 m.
b = 10 cm = 0.1 m.
d = 27 mm = 0.027 m.
ρ = 0.5 g / cm ^ 3 = 500 kg / m ^ 3.
N -?
m1 -?
N = V / V1, where V1 is the volume of one board.
V1 = a * b * d, where a, b, d – length, width, thickness. The board has the shape of a rectangular parallelepiped.
N = V / a * b * d.
N = 2 m ^ 3/6 m * 0.1m * 0.027m = 123.5.
It has 123 boards in the specified sizes.
m1 = ρ * V1.
m1 = ρ * a * b * d.
m1 = 500 kg / m ^ 3 * 6 m * 0.1 m * 0.027 m = 8.1 kg.
Answer: N = 123, m1 = 8.1 kg.



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