# Tent

Calculate how many liters of air will fit in the tent that has a shield in the shape of an isosceles right triangle with legs r = 3 m long the height = 1.5 m and a side length d = 5 m.

Result

V =  19486 l

#### Solution:

$r = 3 \cdot \ 10 = 30 \ \\ v = 1.5 \cdot \ 10 = 15 \ \\ d = 5 \cdot \ 10 = 50 \ \\ a = 2 \cdot \ \sqrt{ r^2-v^2 } = 2 \cdot \ \sqrt{ 30^2-15^2 } = 30 \ \sqrt{ 3 } \doteq 51.9615 \ \\ S = v \cdot \ a / 2 = 15 \cdot \ 51.9615 / 2 = 225 \ \sqrt{ 3 } \doteq 389.7114 \ \\ V = d \cdot \ S = 50 \cdot \ 389.7114 \doteq 19485.5716 = 19486 \ \text{ l }$

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Tips to related online calculators
Do you know the volume and unit volume, and want to convert volume units?
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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