Juice box

The juice box has a volume of 200ml with its base is an isosceles triangle with sides a = 4,5cm and a height of 3,4cm. How tall is the box?

Correct result:

h =  26.144 cm

Solution:

V=200 cm3 1 ml=1 cm3 a=4.5 cm v=3.4 cm S1=a v/2=4.5 3.4/2=15320=7.65 cm2 h=V/S1=200/7.65=4000153=26.144 cmV=200 \ \text{cm}^3 \ \\ 1 \ ml=1 \ cm^3 \ \\ a=4.5 \ \text{cm} \ \\ v=3.4 \ \text{cm} \ \\ S_{1}=a \cdot \ v/2=4.5 \cdot \ 3.4/2=\dfrac{ 153 }{ 20 }=7.65 \ \text{cm}^2 \ \\ h=V/S_{1}=200/7.65=\dfrac{ 4000 }{ 153 }=26.144 \ \text{cm}

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