RRB Paramedical Staff Nurse Model Paper 10

Question : 49 of 100

Marks: +1, -0

The base of a right prism is an equilateral triangle of area 173 Sq. cm and the volume of the prism is 10380 cube.cm. The area of the lateral surface of the prism is- (use

√3 =1.73

)

1200 Sq. cm
2400 Sq. cm
3600 Sq. cm
4380 Sq. cm

Validate

Solution:

Area of base of prism

=173{cm}^{2}

\;{√{3}}/{4} a^{2}=173 ⇒ a^{2}=\;{173 × 4}/{1.73}=400 {cm}^{2}

So side of base of prism

√{400}=20 {cm}

Perimeter of base of prism

=20 × 3=60 {cm}

Volume of prism

=10,380 {cm}^{3}

(Given) Height

=\;{\Volume }/{\Area}=\;{10,380}/{173}=60 {cm}

So Lateral surface area of prism

=60 × 60=3600

sq.cm

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