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?

Answer 1

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$$\left[1mark\right]$

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

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

$=30(10+24+26)$

$=30\times 60$

$=1,800c{m}^2$$\left[1mark\right]$