Question

the figure shown is a trapezoidal/trapezium prism which has the cross section of a trapezium/trapezoid with the following dimensions:
a = 20 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 trapezoid cross - section

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a = 20\space cm\), \(b = 15\space cm\), and \(h = 50\space cm\) (height of the trapezoid).

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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 \(H = 50\space cm\) (height of the prism).

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Answer:

\(43750\space cm^{3}\)