Find the lateral area and surface area of a regular triangul

Find the lateral area and surface area of a regular triangular right prism with base edge 8 cm and height 13 Round to the nearest tenth. a. lateral area: 367.4 cm^2: surface area: 312 cm^2 b. lateral area: 312 cm^2: surface area: 367.4 cm^3 c. lateral area: = 312 cm^2: surface area: 24 cm^2 d. lateral area: 24 cm^2: surface area: = 312 cm^2 Find the surface area of the prism. a. 360 cm^2 b. 1440 cm^2 c. 1720 cm^2 d. 2400 cm^2

Solution

15. Surface area of prism is given by :

Area of triangle * length

= 1/2 * base * height * length

= 1/2 *(10)*sqrt(26^2 - 10^2)*20

=.5*10*24*20

= 2400 cm^2

D is right option