Question
A rectangular prism has bases that are 11 cm long and 9 cm wide. The lateral faces are 19 cm long. What is the surface area?
958 cm²
766 cm²
1054 cm²
862 cm²
958 cm²
766 cm²
1054 cm²
862 cm²
Answers
Answered by
GPT 3.5
To find the surface area of the rectangular prism, we need to find the area of each face and then add them together.
The area of the two bases can be found by multiplying the length (11 cm) by the width (9 cm): 11 cm * 9 cm = 99 cm² (each base has the same area).
There are four lateral faces, each with an area of 19 cm * 9 cm = 171 cm².
Now we can add the areas together to find the total surface area: 99 cm² + 99 cm² + 171 cm² + 171 cm² = 540 cm².
None of the given answer choices match the calculated surface area, so there may be a mistake in the information provided or the answer choices.
The area of the two bases can be found by multiplying the length (11 cm) by the width (9 cm): 11 cm * 9 cm = 99 cm² (each base has the same area).
There are four lateral faces, each with an area of 19 cm * 9 cm = 171 cm².
Now we can add the areas together to find the total surface area: 99 cm² + 99 cm² + 171 cm² + 171 cm² = 540 cm².
None of the given answer choices match the calculated surface area, so there may be a mistake in the information provided or the answer choices.