The diagram shows a triangular prism of length 7cm. The r...
The diagram shows a triangular prism of length 7cm. The right - angled triangle PQR is a cross section of the prism |PR| = 5cm and |RQ| = 3cm. What is the volume of the prism?
28cm2
42cm2
70cm2
84cm2
Correct answer is B
Volume of prism = Area x height
In Δ RQP, QR2 + QP2 = RP2
32 + QP2 = 52
QP^2} = 5\(^2 - 32
QP = √16
= 4 cm
∴ Area = \frac{1}{2} \times base \times height
= \frac{1}{2} \times 3 \times 4
= 6 cm^2
Volume = 6 x 7
= 42 cm^3
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