1. What is the volume of a right prism the area of whose base is 42cm^2 and whos height is 9cm?
2. What is the total surface area of a cube whose edge measures 8 cm?
3. Wwhat is the area of a parallelogram whose base measures 14cm and whoes height is 9cm?
I have no idea how to solve any of these. Please help me with solving them so I can figure out the rest on my own, giving a formula, anything please! Thank you!
2. What is the total surface area of a cube whose edge measures 8 cm?
3. Wwhat is the area of a parallelogram whose base measures 14cm and whoes height is 9cm?
I have no idea how to solve any of these. Please help me with solving them so I can figure out the rest on my own, giving a formula, anything please! Thank you!
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Okay first of all, this is the geography section (earth/culture science) not geometry (math).
Second of all, doesn't your geometry teacher have a formula sheet for solving equations? If yes, all you have to do is plug in the numbers into the formula....
If not, let's go over some of the basics. Do you know the difference between volume, surface area, and area? Area is an expression of quantity of a 2-dimensional shape, such as a square or triangle. Volume and surface area are for 3-dimensional objects, such as a cube, pyramid, cylinder, etc. Volume is to measure how much the 3-dimensional object can "fill up". Like when you fill up a cylinder cup entirely with water. The amount of water is expressed in volume. Surface area is used to measure the 3-dimensional object as if it were a 2-dimensional shape. A really good example of surface area is wrapping a box of presents. If you were to wrap a box with wrapping paper without making any folds, such as if you cut out rectangles with the wrapping paper to cover the box, those rectangles would add up to the total surface area.
Questions # 1 and 2 are asking for 3-dimensional objects.
This is a right prism: http://www.staff.hum.ku.dk/dbwagner/pyra…
And this is a cube: http://upload.wikimedia.org/wikipedia/co…
The formula for finding the volume of any prism is V=Bh, v=volume, B=area of the base aka the bottom, and h=height of prism. Looks like you have the base (42cm^2) and the height (9cm) so all you have to do is plug the numbers in the formula, which is v=(42cm^2)(9cm)=378cm^3
Finding the surface area for a cube is pretty simple. Remember, a cube is a 3-dimensional square (meaning a cube has the same height, length, and width), and surface area is the total area of all flat sides. So find the area of one of the sides, then multiply that by 6 (the number of sides of a cube). I think you can carry that one on.
Finding the area of a parallelogram is like finding the area of a rectangle. The formulas are even the same! A=Bh (area = base x height) Why is this? Take a look at this picture:
http://www.coolmath.com/reference/images…
If you were to move that piece of triangle on the left of the parallelogram to the right, wouldn't that essentially be a rectangle? The area stays the same because you just moved it around.
That's it for now, if you have any more questions, just add it to your detail and I'll try to check back every now and then. Good luck.
Second of all, doesn't your geometry teacher have a formula sheet for solving equations? If yes, all you have to do is plug in the numbers into the formula....
If not, let's go over some of the basics. Do you know the difference between volume, surface area, and area? Area is an expression of quantity of a 2-dimensional shape, such as a square or triangle. Volume and surface area are for 3-dimensional objects, such as a cube, pyramid, cylinder, etc. Volume is to measure how much the 3-dimensional object can "fill up". Like when you fill up a cylinder cup entirely with water. The amount of water is expressed in volume. Surface area is used to measure the 3-dimensional object as if it were a 2-dimensional shape. A really good example of surface area is wrapping a box of presents. If you were to wrap a box with wrapping paper without making any folds, such as if you cut out rectangles with the wrapping paper to cover the box, those rectangles would add up to the total surface area.
Questions # 1 and 2 are asking for 3-dimensional objects.
This is a right prism: http://www.staff.hum.ku.dk/dbwagner/pyra…
And this is a cube: http://upload.wikimedia.org/wikipedia/co…
The formula for finding the volume of any prism is V=Bh, v=volume, B=area of the base aka the bottom, and h=height of prism. Looks like you have the base (42cm^2) and the height (9cm) so all you have to do is plug the numbers in the formula, which is v=(42cm^2)(9cm)=378cm^3
Finding the surface area for a cube is pretty simple. Remember, a cube is a 3-dimensional square (meaning a cube has the same height, length, and width), and surface area is the total area of all flat sides. So find the area of one of the sides, then multiply that by 6 (the number of sides of a cube). I think you can carry that one on.
Finding the area of a parallelogram is like finding the area of a rectangle. The formulas are even the same! A=Bh (area = base x height) Why is this? Take a look at this picture:
http://www.coolmath.com/reference/images…
If you were to move that piece of triangle on the left of the parallelogram to the right, wouldn't that essentially be a rectangle? The area stays the same because you just moved it around.
That's it for now, if you have any more questions, just add it to your detail and I'll try to check back every now and then. Good luck.