SSC CGL Tier II 21 Sep 2014 Paper

Question : 7 of 100

Marks: +1, -0

The base of a prism is a right angled triangle with two sides 5 cm and 12 cm. The height of the prism is 10 cm. The total surface area of the prism is

360 sq cm
300 sq cm
330 sq cm
325 sq cm

Validate

Solution:

(3) Hypotenuse of base

=√{5^{2}+12^{2}}

=√{25+144}=√{169}

=13 {cm}

∴ Surface area

=h(a+b+c)

=10(5+12+13)=300 {sq} .{cm}

Area of base

=1/2×5×12=30\sq.\cm

∴ Total surface area of lateral surfaces = 300 + 30 = 330 sq.cm.

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