A builder purchases 600 bricks for a new residential construction. The dimensions of each brick are 5. 1 cm by 10. 2 cm by 20. 3 cm. The density of the brick is 1840 kg m3. What is the weight, in kg to the hundredths, of 600 bricks?.

Respuesta :

The weight of the 600 bricks is 1165.83 kg.

What is the mass of the bricks?

The total mass is the product of the volume of one brick, the number of bricks, and the density. For this problem, it is convenient to use dimensions in meters.

Given

A builder purchases 600 bricks for new residential construction.

The dimensions of each brick are 5. 1 cm by 10. 2 cm by 20. 3 cm.

The density of the brick is 1840 kg m3.

The density of the bricks is given by;

[tex]\rm =600\times (5.1 \ cm \times 10.2 \ cm \times 20.3 \ cm) = 633,603.6\ cm^3[/tex]

The weight, in kg to the hundredths, of 600 bricks is;

[tex]\rm 633,603.6 cm^3 \times \dfrac{ 1 m^3}{10^6 cm^3 }\times\dfrac{ 1840 kg}{m^3}= 1165.83[/tex]

Hence, the weight of the 600 bricks is 1165.83 kg.

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