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The base of a right prism is a Trapezium whose lengths of two parallel sides are 10 cm and 6 cm and the distance between them is 5 cm. If the height of the prism is 8 cm, its volume is:

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320 {cm}^{3}

300.5 {cm}^{3}

310 {cm}^{3}

300 {cm}^{3}

answer is A.

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Detailed Solution

Given,
Length of first parallel side of trapezium L1= 10 cm
Length of second parallel side of trapezium L2= 6 cm
Distance between parallel sides, D= 5 cm
Height of prism, H=8 cm
We know that,
Area of base=

(L 1 + L 2) \times D \times \frac{1}{2}

Also,
Volume of right prism = (base area) × (height)

Volume = (L 1 + L 2) \times D \times \frac{1}{2} \times H

Volume = (10 + 6) \times 5 \times \frac{1}{2} \times 8

Volume = 320 {cm}^{3}

Correct option is 1.

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