I was out of school almost all last week, and so my math teacher gave me the assignments I missed. He accidentally gave me the next class' homework too, so I had already done it when he assigned it. So he said that for my homework, I had to find the volume of my house! I guess that he doesn't realize that I don't live in a square box! I have a seven-sided livingroom and an eight-sided diningroom. The house itself is I think nine-sided. So this is no easy task, especially since we never went over in class how to find the area of irregular shapes.
So for example, my livingroom's sides measure 125", 94", 68", 49", 65", 50", and 156", and the ceiling is 9'2" high. How would I determine the volume of the room? Please don't just give me the answer I need to know how to do it! Thanks!
2006-10-11 10:44:31 · 3 answers · asked by Anonymous in Education & Reference ➔ Homework Help
smartypants told me to divide it up into squares and rectangles but i can't very well do that with the awkward shape of the room! triangles are much easier. how do you find the volume of a triangle?
2006-10-11 10:55:48 · update #1
To find the volume of your house you will have to break the room into pieces and add together the volumes of the pieces.
The volume of solids with rectangular or triangular bases =
area of the base x height The height is 9'2'' or 110 '' (since you have the other measurements in inches). Now draw a picture of
the floor of your house, marking in the distances. Portion that floor plan into a series of rectangles ( and triangles if you need to) and find the areas of each the pieces. Then multiply the sum of those areas by 110 inches and you will have the volume in cubic inches. One cubic foot is 12x12x12 cubic inches=1728 cu in, so divide by 1728 to get your answer in cubic feet.
Remember, the area of a triangle is 1/2(base x height).
When you break the floor up into manageable polygons it is sort of like doing a puzzle.
Draw you lines to make the simplest divisions.
2006-10-11 11:01:39 · answer #1 · answered by True Blue 6 · 0⤊ 0⤋
in case you not have get right of entry to to the rocks (as an occasion, in the event that they have been area of a lab you probably did and you will't bypass back and verify out them back) there isn't any thank you to calculate their quantity without extra concepts. you are able to't calculate the quantity of an irregularly formed merchandise based purely on measurements alongside the products axes. in case you do have get right of entry to to the rocks, you are able to drop them into water and degree the quantity of water they displace. it somewhat is maximum in basic terms comprehensive in a graduated cylinder or comparable gadget. Fill it partway with water and degree the preliminary quantity of the water (study the interpreting on the area of the field). Then, drop in between the rocks and checklist the hot quantity of water in the field. the quantity of the rock is the hot quantity minus the old quantity. Repeat this with each and all the three rocks. although, except you're thinking air resistance or some form of friction on your calculations, you mustn't choose the quantity of the rocks. for that reason you purely choose the mass to calculate the quantity of potential necessary. you will would desire to calculate the projectile direction of the rocks alongside some arbitrary arc (perchance shot at a 40 5 degree perspective to the horizontal). you ought to use kinematics to calculate how briskly the rock needs to be shifting to commute a undeniable horizontal distance in the time it takes the rock to upward push and fall. At a 40 5 degree perspective to the horizontal, the rock will commute two times as a ways horizontally because it does vertically (because of the fact one million/2 of the horizontal distance would be spent going up, and the different one million/2 coming back off). you are able to then use the concepts you funds in on the kinematics equations to calculate the quantity of kinetic potential required. this will require the mass of the rocks, yet not the quantity.
2016-12-16 06:09:30 · answer #2 · answered by ? 3 · 0⤊ 0⤋
You divide the shape up into squares and rectangles with dotted lines, find the area of each shape, and add them together.
2006-10-11 10:48:01 · answer #3 · answered by smartypants909 7 · 0⤊ 1⤋