What is the lateral surface area of a prism whose bases each have area 16m² and whose lateral surface area is 64 m²

Question

Choices for answers are:  528 cm² ,835 cm² ,1055 cm², 1432 cm²

Answer 1

A prism has two congruent bases and lateral faces (the rectangles around the sides).

1. Base area = 16m² (each base)
2. Lateral surface area = 64m²

Total surface area of a prism is:

SA = LA + 2B

So:

SA = 64 + 2(16) = 64 + 32 = 96m²

Correct Answer: 96m²

Now convert m² → cm²

1m² = 10,000cm²

96m² = 96 × 10,000 = 960,000cm²

Compare to the answer choices:

1. 528 cm² ❌
2. 835 cm² ❌
3. 1055 cm² ❌
4. 1432 cm² ❌

🚨 None of the answer choices match.

Explanation: Using the given values, the total surface area is 96 m², which converts to 960,000 cm². Since none of the answer choices match this value, the problem appears to have a unit or transcription error.

Quick note: you’re adding the “wrap-around” area (lateral) plus the two base faces. That’s it.