Question

the figure shown is a trapezoidal/trapezium prism which has the cross section of a trapezium/trapezoid with the following dimensions: a = 10 cm b = 15 cm h = 50 cm (height of the trapezium/trapezoid) h = 50 cm (height of the prism) what is the volume of this prism?

Explanation:

Step1: Calculate the area of the trapezium cross - section

The formula for the area of a trapezium is \(A=\frac{(a + b)h}{2}\), where \(a = 10\space cm\), \(b=15\space cm\) and \(h = 50\space cm\).

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Step2: Calculate the volume of the prism

The formula for the volume of a prism is \(V=A\times H\), where \(A\) is the area of the cross - section and \(H\) is the height of the prism. Here \(A = 625\space cm^{2}\) and \(H=50\space cm\)

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Answer:

\(31250\space cm^{3}\)