A right triangular prism has a height of 26 cm and base edges of 10 cm, 24 cm, and 26 cm. What is the lateral area of the prism?

A. 1560 cm2

B. 1680 cm2

C. 800 cm2

D. 3120 cm2

The lateral area is 1560 cm².

The lateral area is the area of the lateral faces (the faces that are not bases). The dimensions of these are:

24 by 26

10 by 26

26 by 26

These are all rectangles. The area of each rectangle is given by length * width:

24*26 = 624

10*26 = 260

26*26 = 676

624+260+676=1560