Question

The base of a prism is a right-angled triangle having its base and altitude as 10 cm and 24 cm respectively. If the height of prism is 30 cm, what will be the lateral surface area ?

• A. $900c{m}^2$
  
• B. $2400c{m}^2$
  
• C. $1800c{m}^2$
  
• D. $1200c{m}^2$

Answer 1

The correct option is C

$1800c{m}^2$

Base of the prism is right-angled triangle having base and altitude as 10 cm and 24 cm respectively.

Third side of the triangle will be equal to

$\sqrt{{10}^2+{24}^2}=\sqrt{676}=26cm$

Lateral surface area will be the area of three rectangles formed.

Area = $10\times 30+24\times 30+26\times 30$

$=30(10+24+26)$

$=30\times 60$

$=1800c{m}^2$