Question

The area of the base of a prism is 24 mm2. The perimeter of the base is 22 mm. The height of the prism is 5 mm.

Answer 1

The surface area = The area of the two bases + the area of the lateral surface

The area of 1 base = 24 mm², so the area of two is 48 mm².

The area of the lateral surface = the perimeter of the base × the height.
The perimeter = 22 mm. The height = 5 mm.
Thus the lateral surface area is 110 mm².

The total surface area is 110 + 48 = 158 mm².

Answer 2

The surface area = The area of the two bases + the area of the lateral surface

The area of 1 base = 24 mm², so the area of two is 48 mm².

The area of the lateral surface = the perimeter of the base × the height.
The perimeter = 22 mm. The height = 5 mm.
Thus the lateral surface area is 110 mm².

The final answer is 158mm to the power of 2