How do you find the volume of a wedge? (3D ramp-shaped object?)?

Question

For bonus points, calculate the area of a wedge with h=2, l=10, w=3.

Answer 1

Find the area of the triangular side and then multiply that area by the width of the wedge. For extra credit I would say 30 units cubed.

Answer 2

you calculate volume as if it was a rectangular prism then divide by 2, since a wedge is a rectangle cut diagonally in half.

2 x 10 x 3 = 60
60 / 2 = 30

or

2 x 10 = 20
20 / 2 =10
10 x 3 = 30

i'm assuming that when you say area you mean surface area, in which case you add the areas of each of the wedge's faces.

2 x 10 = 20
3 x 10 = 30 x 2 = 60
2 x 3 = 6
20 + 60 + 6 = 86

hope this helps.

Answer 3

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RE:
How do you find the volume of a wedge? (3D ramp-shaped object?)?
For bonus points, calculate the area of a wedge with h=2, l=10, w=3.

Answer 4

Volume Of A Wedge

Answer 5

Pretend it was a box and find the volume (multiply l x w x h) and then make that in half.

2 x 10 x 3 = 60
60 / 2 = 30

30 units^3

Answer 6

Use those measurements to figure out the volume of a sphere, and then if you know what portion of the sphere the wedge is divide by that number.

For example, V=4/3*pi*r^3

If the height is 2, then r is 1.

I'm not sure if I totally understand your question but that's what I gather from the information given.

Answer 7

A wedge is just a triangle with substance.
To calculate the area of a triangle, it is 1/2bxh
Where b=base measurement and h=height.
Then you must multiply buy the "width" of the wedge
so... 1/2 (bXh) X w
1/2(2x10)x3 = 30

Answer 8

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Well, we use Integral Calculus in todays world. But for some simple shapes like spheres, there are equations. Plato used a Method of Exhaustion, I believe it is called, for unusual shapes. And the first respondent is correct in mentioning ratios. If all linear dimensions are in an a:b ratio then the volume is in an a³:b³ ratio. Likewise surface area would be in an a²:b² ratio. From physics we have weight/mass and density of, say, water... to aid in volume determination. There are plenty of creative ways of doing it.

Answer 9

Turn it on its side and think of it as an extruded triangle. All objects like that are the area of the base multiplied by the height. Of course, if you did it that way, then you'd be using the original width as your height.

The answer is as follows:

3[.5(2x10)]=30 units cubed

Answer 10

Find the area of the triangle in side cross section.
Mulitply by the width.
Done!

So:

[(2*10)/2] * 3 = 30 cubic units