Describe the dimensions of two different prisms that each have a volume of 2400 cubic centimeters using work
1 answer:
Answer:
Step-by-step explanation:
Alright, lets get started.
We have given the volume of a prism that is 2400 cubic centimeters.
we have not given which type of prism it is, so we are taking it as a rectangular prism.
The formula of volume of rectangular prism is :
Where l is length of base
w is width of base
h is height of prism
So,
So, if we factor 2400 in two different manners, we could have two different dimensions of this prism having same volume that is 2400.
So, our first factor would be :
Means the prism has base of 20 and 20 centimeters and height of 6 centimeters.
Our second factor would be :
Means the prism has base of lenght 40 and width 30 and its height is 2 centimeters.
Hence we have two dimensions of prism, 20 20 6 and another one is 40 30 2. : Answer
Hope it will help :)
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Solve for
y
y in
2
x
+
y
=
8
2x+y=8.
y
=
8
−
2
x
y=8−2x
2 Substitute
y
=
8
−
2
x
y=8−2x into
4
x
+
6
y
=
24
4x+6y=24.
−
8
x
+
48
=
24
−8x+48=24
3 Solve for
x
x in
−
8
x
+
48
=
24
−8x+48=24.
x
=
3
x=3
4 Substitute
x
=
3
x=3 into
y
=
8
−
2
x
y=8−2x.
y
=
2
y=2
5 Therefore,
x
=
3
y
=
2
x=3
y=2
look in comments to read it better but x=3 y=2 hope this helps :)
y
y in
2
x
+
y
=
8
2x+y=8.
y
=
8
−
2
x
y=8−2x
2 Substitute
y
=
8
−
2
x
y=8−2x into
4
x
+
6
y
=
24
4x+6y=24.
−
8
x
+
48
=
24
−8x+48=24
3 Solve for
x
x in
−
8
x
+
48
=
24
−8x+48=24.
x
=
3
x=3
4 Substitute
x
=
3
x=3 into
y
=
8
−
2
x
y=8−2x.
y
=
2
y=2
5 Therefore,
x
=
3
y
=
2
x=3
y=2
look in comments to read it better but x=3 y=2 hope this helps :)