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A beam is 9 m long, 50 cm wide, and 20 cm deep. It is made of wood that weighs 30 kg per cubic meter.

Find the weight of the beam.

Answer :

Final answer:

The weight of the wooden beam is calculated by determining the beam's volume, then multiplying the volume by the wood's density to find the mass. The weight is found by multiplying the mass by the gravitational acceleration. The weight of the given beam is approximately 264.87 N.

Explanation:

The task is to determine the weight of the wooden beam. First of all, we need to calculate the volume of the beam. The volume (V) is the product of the beam's length, width, and depth, converted to meters as follows: V = 9m x 0.5m x 0.2m = 0.9 cubic meters.

Given that the density of the wood is 30 kg/m³, we can find the mass (m) by multiplying the volume by the density. Therefore, m = V x density = 0.9 m³ x 30 kg/m³ = 27 kg.

Weight of the beam is obtained by multiplying its mass by the acceleration due to gravity (approximated as 9.81 m/s²). Thus, the weight of the beam = m x g = 27 kg x 9.81 m/s² = 264.87 N (approx), where N stands for Newton, the unit of force or weight.

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