Mensuration Practice Test 3

Question : 40 of 40

Marks: +1, -0

Find the volume of a triangular prism whose height is 17 cm and sides of its base are 30 cm, 24 cm and 18 cm.

Solution:

S =

{a+b+c}/2

{30+24+18}/2

{72}/2

= 36
Area =

√{S(s-a)(s-b)(s-c)}

√{36(36-30)(36-24)(36-18)}

√{36×6×12×18}

216 cm^2

Volume of the Prism = (Area of base) × Height
= 216 × 17 = 3,672

cm^2

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