# Find the mass of the window glass, which is 1.6m long, 75cm wide, 5mm thick. The mass of 1 cubic meter of glass is equal to 2600 kg.

January 14, 2021 | education

| Given:

a = 1.6 m,

b = 75 cm = 0.75 m,

c = 5 mm = 0.005 m,

m (1 m ^ 3) = 2600 kg.

Find – m.

Decision.

We need to find the volume of the window glass. And then, knowing the mass of 1 m ^ 3 of glass, determine the mass of the entire glass.

We will assume that the glass has the shape of a rectangular parallelepiped.

By definition of the volume of a rectangular parallelepiped:

V = a * b * c.

Let’s substitute numerical values into the formula:

V = 1.6 * 0.75 * 0.005 = 0.006 (m ^ 3);

m = m (1 m ^ 3) * V;

m = 2600 * 0.006 = 15.6 (kg).

Answer: m = 15.6 kg.

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