In your own words, tell me what I am asking you to do when I ask you to “find the surface area” of any object?
What do you think it would mean to "find the LATERAL surface area" of a prism? How would this be different from TOTAL surface area of a prism?
18 comments:
When you are asking for us to find the surface area, you are asking us to find the area of all the faces and add them together. If you make a net of a figure, you can add count the units in each face and add them together to get the surface area.
To find the area of the lateral faces you would simply find the area of all the faces other than the base and height. The total area includes the base and height.
When you ask us to find the surface area of any object, you are asking us to find the area of each face of a 3D figure and then add all the areas together. The total that you get is the total surface area of the object. I think that finding the lateral surface area of a prism would mean that you find the area of all the faces, except the area of the top and bottom faces, and add them. The answer you get is the lateral surface area. This would be different from the total surface area of a prism because when you find the surface area you are excluding the top and bottom faces.
In your own words, tell me what I am asking you to do when I ask you to “find the surface area” of any object?
When you ask me to give you the surface area, I think that you are asking me to tell you the outside area of the three dimensional shape.
What do you think it would mean to "find the LATERAL surface area" of a prism? How would this be different from TOTAL surface area of a prism?
The total surface area is the bottom, top and sides but the lateral area is the sides only so you would only find the surface area of the sides.
When you ask us to find the surface area you are asking for the total amount of space that the area covers, around the whole entire figure. For example if you ask to find the surface area of a rectangular prism( in nets) then you would be asking us how much the surface area actually covers. I think that lateral surface area of prism means finding the area of all the faces themselves. Total area means that you are finding the whole figures area including both the base and the height.
When you ask for the surface area of any object, you are really asking for the area of each face combined. You find the area of each face on any object, and then add each area together to get the total surface area.
The lateral surface area is the surface area of all the faces on the prism EXCEPT the bases. When finding this on a prism this would exclude the bases (top and bottom), so this would be different from the total surface because it would decrease by however much the bases are. (In other words, the total surface area would be more than the lateral surface area because it would have the area of 2 more faces to add in.)
1. In your own words, tell me what I am asking you to do when I ask you to “find the surface area” of any object?
You’re saying that I need to find the area of each individual surface and add them together.
2. What do you think it would mean to "find the LATERAL surface area" of a prism? How would this be different from TOTAL surface area of a prism?
Finding the lateral surface area of a prism means that you would find the area of all the faces except the area of the top and bottom faces and add them.
I think when you tell us to find the surface area of any object this means that you want us to find the amount of surface there is on the object. An example is if you have a 5x3x2 rectangular prism the surface area would be 62 units squared.
I think that the lateral surface area means the surface area of one side of the object. This would be different from the total surface area because the total surface would be 6 times the lateral surface area of a cube.
When you find the surface area, you find the area of each face and add them together to get the surface area. Surface area can be very easy to use when you use the right steps.
When you find the lateral surface area, the sum of all of the surface areas of a solid is the lateral surface area. For example, if you have a three dimensional figure with five rectangular sides and the base is a pentagon, you would multiply the pentagon’s area by all five of the rectangular face’s areas.
When something says “find the surface area,” it means that you need to find the area of the box (or cube) when it is laid out flat on a smooth surface. To do this, you can find the area of each face (to do this, you multiply base x height) and add them all up to get a total. This total would be the surface area. Even simpler, you can just count all of the unit squares and that would also be your surface area. But remember to square your units since you are dealing with the surface area!
When something says to “find the lateral surface area of a prism,” I think it means that you find the area of a prism, but you don’t include the area of any bases. So, to find the lateral area of a prism, you would multiply the perimeter x height. This is different from the surface area of a prism because when you are finding the surface area, you multiply base x height, but when you are finding the lateral surface area, you multiply perimeter x height.
-Bethany :)
“To find the surface area” of any object means to find the area of each “face” of the 3D shape and add them to together to create the “surface area”.
For example: If we had a rectangular prism with the dimensions of 2x3x6. To determine the “surface area” we have to find the area of each face of the shape. The first two sides, with the dimensions of (2x6) x2 which equals 24. The second two sides, (3x6) x2 equals 36. Following, the last two faces of the six faced shape is (2x3) x2 equaling 12. By adding all of these areas together you will get a surface area of 72 centimeters squared.
As for the lateral surface area of a prism, it means that we would do the exact same strategy as above but subtracting 12 because we are subtracting one side. Lateral surface area is the sum of the surface areas of all its faces excluding the base of the solid. So, instead of the old surface area of 72 centimeters squared, the new surface area would be 60 centimeters squared.
When you ask us to find the surface area of an object your asking to find the toatle area of that object in square units. I think that finding the lateral surface is just finding the area of the sides not the bases.
To find the surface area of something, one of the first things you need to do is find the dimensions of the shape. This includes length, width and height. You only need these because it is surface area. Let’s say we are using a rectangle prism with the dimensions, 3x2x1. The rectangular prism has a top and a bottom or a top and a base. The measurement for this is 3x2(2). The two in the parenthesis represents the top and the bottom. The next two are 3x1 (2) for the sides, and the last pair is 1x2(2). So, to get the surface area you add all the dimensions above and their answers together to get a surface area of 22.
The definition of Lateral is not including the top and bottom it’s only the sides and the other sides. It would have a lot less surface area.
Surface area: it is the total area of the surface of a three-dimensional shape. LATERAL surface area: it is the surface area of an object not including the base of the figure. The shape would have to 4 sides and no top or bottom, so that would have an effect on the shape depending on the original surface area you subtract the top and bottom area to get the LATERAL surface area.
When you find the total surface area of a prism, you’re finding the area of each face, and then adding them all together. So, if the dimensions were 1x2x3, the surface area would be (1x2)2+(1x3)2+(2x3)2, which equals 22u2.
When you find the lateral surface area of a prism, you’re multiplying the height by 2, times the width and length added together. So, if the dimensions were 1x2x3, the lateral surface area would be (2x3)(2+1), which equals 18u2. Finding the lateral surface area doesn't include the top and bottom, so it would be less that the total surface area.
When finding the total surface area of a prism, you would need to find the area of each face on the prism. After you find the area of each face, you would need to add them all together to find the total surface. The lateral surface area is is the same thing as the total surface area except you subtract the top and bottom base from the equation. The lateral surface area would be different from the total surface area because the lateral surface area does not have the top and bottom faces.
When you need to find the surface area for a fiqure ,that means you are finding the area for each side of the fiqure. For example you do 5 by 4 by 1. So you do 5 by 4 times 2, 5 by 1 times 2, and 4 by 1 times 2. Then you add them all together and you get the answer
When you say what is the surface area you are asking me to find the area of each face on a shape. So when you do a square you just need to get the area of one face then multiply it by six. Or when you do a rectangular prison yo only need the area of two faces the square Wichita you multiply by two then the rectangle which you multiply by four
To find the surface area it means to find the area of all six sides of the figure. To find the Lateral surface area means to find the area of the front, back, and sides not the bottom and top.
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