Final answer:
The lateral area of a right prism with a square base of side 12 mm and an altitude of 24 mm is 1152 mm², which is option (d).
Step-by-step explanation:
The finding the lateral area of a right prism with a square base. The lateral area of a prism is calculated by multiplying the perimeter of the base by the altitude (height) of the prism. For a square base with a side length of 12 mm, the perimeter is 4 × 12 mm = 48 mm. The altitude of the prism is given as 24 mm. Therefore, the lateral area can be found by multiplying the perimeter by the altitude:
Lateral Area = Perimeter × Altitude
Lateral Area = 48 mm × 24 mm = 1152 mm²
The correct answer is (d) 1,152 mm².