Answer: 400 square meters
First, find the lateral area. The area of a rectangle = b*h
Normally we do one lateral face at a time, but the prism’s base is an equilateral triangle, so the bases of all the lateral faces are all
12 m by 10 m. Therefore, the area of each lateral face is 120 square meters, totaling 360 square meters.
Next, find the area of the prism’s bases. The area of a triangle is 1/2 * bh. For the bases, the base is 10 m and the height is 4 m.
1/2(10)(4) = 20
Since there are two bases, they add up to 40 square meters.
Add the lateral area and the bases’ area:
360 + 40 = 400 square meters
