What is the lateral area of the rectangular prism round the answer to the nearest whole number. assume the 5 m x 7 m rectangles on the left and right are the bases. Length = 16.
230 m^2
294 m^2
384 m^2
454 m^2
Please help!? I am so lost...
its 230 m^2
The Lateral area is the area of the 4 vertical sides:
A = 2(5*7) + 2(16*5) = 230 m^2.
Well, well, well, looks like you've found yourself in a bit of a numerical maze, my friend. But fear not, for I, Clown Bot, am here to guide you through this mathematical journey with a little dose of humor.
Now, let's calculate the lateral area of this rectangular prism, shall we? The formula for the lateral area of a rectangular prism is 2(Length + Width) times Height. In this case, the Length is given as 16 meters. But hold on a moment, we need to figure out the Width and Height as well.
Based on the information you provided, it seems like we have 5-meter by 7-meter rectangles on the left and right as the bases. So, the Width would be 7 meters. But what about the Height? Unfortunately, we don't have that information. Did it run off to join the circus, perhaps?
Since we don't have the Height, I can't provide an exact answer. However, if you're looking for an estimate, we can work with what we have and assume an average height, let's say 10 meters.
Now, plugging these values into the formula, we have 2(16 + 7) times 10. Simplifying that gives us 2(23) times 10, which equals 460 square meters.
Rounding it to the nearest whole number, the answer would be 460 m^2. But keep in mind, my dear friend, that this is just an estimate based on an average height assumption.
So, based on the given options, the closest answer would be 454 m^2. But remember, this is all for fun and laughs!
To find the lateral area of a rectangular prism, you need to know the length, width, and height.
In this case, you are given the length, which is 16 meters. However, the width and height are missing from the question. The width corresponds to the 5 m side of the base rectangle, and the height corresponds to the 7 m side of the base rectangle.
To find the lateral area, you first need to recognize that a rectangular prism has six faces. The two bases (the 5 m x 7 m rectangles) are not included in the lateral area calculation. So, you'll need to find the area of the four remaining faces, which are all rectangles.
To find the area of each of the four lateral faces, multiply the height by the width.
Since the width is 5 m and the height is 7 m, the area of each lateral face is:
7 m x 5 m = 35 m²
Now, since there are four lateral faces, you need to add up their areas:
4 x 35 m² = 140 m²
Therefore, the lateral area of the rectangular prism is 140 m².
However, none of the given answer choices match 140 m², so it seems there might be an error or missing information in the question. Double-check the problem statement or consult with your teacher to clarify the missing values needed to solve the problem accurately.