Question

Find the surface area of the triangular prism below. The bases each have anarea of 6 cm2 and a perimeter of 10 cm, and the altitude is 10 cm.A. 60 cm?B. 100 cm2C. 112 cm?D. 40 cm?

Answer 1

`C.\text{ }112cm^2`

Step-by-step explanation

Parameters given:

Area of each base = 6 cm^2

Perimeter = 12 cm

Altitude of the prism = 10 cm

To find the surface area of the prism, apply the formula:

`SA=2(A)+p*h`

where A = base area

p = perimeter

h = height/altitude of prism

Therefore, the surface area of the prism is:

`\begin{gathered} SA=2(6)+(10*10) \\ \\ SA=12+100 \\ \\ SA=112cm^2 \end{gathered}`

The correct answer is option C.