The base of a right prism is a right-angled triangle with legs 7 cm and 24 cm. The height of the prism is 12 cm.Find the lateral surface area of the prism.
Show answer & explanation
Correct answer: C
Explanation
Sides of the right-angled triangle = 7 cm, 24 cm
Hypotenuse = √(7² + 24²)
= √(49 + 576)
= 25 cm
Perimeter of the triangular base = 7 + 24 + 25 = 56 cm
Height of the prism = 12 cm
Lateral surface area = Perimeter of the base × Height of the prism
= 56 × 12
= 672 cm²