The base of a right prism is a triangle with sides 16 cm, 30 cm and 34 cm. Its height is 32 cm. The lateral surface area (in cm2) and the volume (in cm3) are respectively:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2560 and 7680
(16, 30, 34) are pythagorean triplet.
The volume of prism = Area of base × height
Area of base = 1/2 × 30 × 16 = 240
The volume of the prism = 240 × 32 = 7680 cm3.
Lateral surface area = perimeter of base × height
Lateral surface area = 80 × 32 = 2560 cm2.