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'***10 points**** Math help?

A water trough is 6 m long and its cross-section is an isosceles triangle which is 70 cm wide at the top, and the height is 70 cm. The trough is not full. Give an expression for V, the volume of water in the trough in cm3, when the depth of the water is d cm.

2 Answers

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  • david
    Lv 7
    9 years ago
    Favorite Answer

    The equation of the area of a triangle is 1/2 base * height. The height is the depth of the water, and the base is the same as the height. This results in an equation of 1/2 d^2 for the area of the water in the trough. To get the volume, you would multiply this by the length of the trough, 6 meters = 600 cm.

    So, V = 300d^2

  • ?
    Lv 6
    9 years ago

    A water trough is 6 m long and its cross-section is an isosceles triangle which is 70 cm wide at the top, and the height is 70 cm. The trough is not full. An expression for V, the volume of water in the trough in cm3, when the depth of the water is d cm is given by

    V = (600/2)d*d cm^3 = 300 d^2 cm^3 ANSWER

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