Question

A right prism of height 15 cm has bases that are right triangles with legs 5 cm and 12 cm. Find the total surface area of the prism. Please explain.

a) 315 cm2 squared
b) 480 cm2 squared
c) 510 cm2 squared
d) 570 cm2

Answer 1

Option (C)

Explanation:

Surface area of a right prism = 2(Area of the triangular base) + Ph

Here, P = Perimeter of the base

h = Height of the prism

Area of the triangular base =
`(1)/(2)(\text{Height})(\text{Base})`

=
`(1)/(2)(5)(12)`

= 30 cm²

Height of the prism = 15 cm

Perimeter of the base = (5 + 12 + 13)

= 30 cm

Surface area of the right prism = 2(30) + 30(15)

= 60 + 450

= 510 cm²

Therefore, Option (C) will be the correct option.