Freezer

The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, 30 cm. A layer of ice of 23 mm thick was formed on the inner walls (and on the opening) of the freezer. How many liters of water will drain if we dispose the freezer?

Result

V =  2.37 l

Solution:

a=1.2 dm b=1.0 dm c=3.0 dm h=2⋅ 0.23=0.46 dm A=a⋅ b⋅ c=1.2⋅ 1⋅ 3=185=3.6 dm3 B=(a−h)⋅ (b−h)⋅ (c−h)=(1.2−0.46)⋅ (1−0.46)⋅ (3−0.46)≐1.015 dm3 C=(A−B)=(3.6−1.015)≐2.585 dm3 V=C⋅ 0.9167=2.585⋅ 0.9167≐2.3697=2.37  l a = 1.2 \ dm \ \\ b = 1.0 \ dm \ \\ c = 3.0 \ dm \ \\ h = 2 \cdot \ 0.23 = 0.46 \ dm \ \\ A = a \cdot \ b \cdot \ c = 1.2 \cdot \ 1 \cdot \ 3 = \dfrac{ 18 }{ 5 } = 3.6 \ dm^3 \ \\ B = (a-h) \cdot \ (b-h) \cdot \ (c-h) = (1.2-0.46) \cdot \ (1-0.46) \cdot \ (3-0.46) \doteq 1.015 \ dm^3 \ \\ C = (A-B) = (3.6-1.015) \doteq 2.585 \ dm^3 \ \\ V = C \cdot \ 0.9167 = 2.585 \cdot \ 0.9167 \doteq 2.3697 = 2.37 \ \text{ l }

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