This is a classroom blog hub for Grade 8 students at Sargent Park School.
Surface Area and VolumeWhat we know about the Rectangular Hay BaleLength : 90cmWidth : 45cmHeight : 35cmWhat we know about the Round Hay BaleDiameter: 100Height : 120So first thing you need to do is find the volume of the rectangular hay bale.To get the volume of the rectangular hay bale you use the same formula you use to get the volume of a rectangular prism. The formula isBase X Height or Length X Width X HeightSo now you write the formula you're going to use. I'll be using the LxWxH formula.V= LxWxHV= 45x90V= 4050x35V= 141 750cm³The volume of the rectangular hay bale= 141 750cm³Now you find the volume of the round hay bale. The formula you use to find the volume in a cylinder is Base X Height orArea one of the circles X Height or(pi)r² X HeightSo now to set it up.V= Base X HeightV= ? X 120We don't know what the base is yet so we have to find it out.To get the base it's the area of one of the circles of the cylinder.The formula to get that is (pi)r²Since we also don't know the radius yet we still have to find that out too.To get the radius when we only have the diameter we use the formula d/2.Radius= d/2R= 100/2R= 50Now we know what the radius is 50.We now use the formula (pi)r² to get the area of one of the circles.Area= (pi)r²A= (3.14)50²A= (3.14)2500A= 3.14x2500A= 7850Since we know the area/base we can find the volume of the round hay bale.V= Base X HeightV= 7850x120V= 942 000cm³The volume of the round hay bale= 942 000cm³Now we need to know how many rectangular bales of hay it takes to equal one round hay bale.To get the answer we need to divide 942 000 by 141 750.942 000/141 750= 6.645Now we have to round to the nearest whole number which is 7.So the answer to the question is It takes 7 rectangular bales of hay to equal one round hay bale
Note: Only a member of this blog may post a comment.
Surface Area and Volume
ReplyDeleteWhat we know about the Rectangular Hay Bale
Length : 90cm
Width : 45cm
Height : 35cm
What we know about the Round Hay
Bale
Diameter: 100
Height : 120
So first thing you need to do is find the volume of the rectangular hay bale.
To get the volume of the rectangular hay bale you use the same formula you use to get the volume of a rectangular prism. The formula is
Base X Height or
Length X Width X Height
So now you write the formula you're going to use. I'll be using the LxWxH formula.
V= LxWxH
V= 45x90
V= 4050x35
V= 141 750cm³
The volume of the rectangular hay bale= 141 750cm³
Now you find the volume of the round hay bale. The formula you use to find the volume in a cylinder is
Base X Height or
Area one of the circles X Height or
(pi)r² X Height
So now to set it up.
V= Base X Height
V= ? X 120
We don't know what the base is yet so we have to find it out.
To get the base it's the area of one of the circles of the cylinder.
The formula to get that is (pi)r²
Since we also don't know the radius yet we still have to find that out too.
To get the radius when we only have the diameter we use the formula d/2.
Radius= d/2
R= 100/2
R= 50
Now we know what the radius is 50.
We now use the formula (pi)r² to get the area of one of the circles.
Area= (pi)r²
A= (3.14)50²
A= (3.14)2500
A= 3.14x2500
A= 7850
Since we know the area/base we can find the volume of the round hay bale.
V= Base X Height
V= 7850x120
V= 942 000cm³
The volume of the round hay
bale= 942 000cm³
Now we need to know how many rectangular bales of hay it takes to equal one round hay bale.
To get the answer we need to divide 942 000 by 141 750.
942 000/141 750= 6.645
Now we have to round to the nearest whole number which is 7.
So the answer to the question is
It takes 7 rectangular bales of hay to equal one round hay bale