Nine times the original volume
Step-by-step explanation:
Let the length, width and height of the rectangular prism be 'l' 'w' and 'h'.
The volume of the rectangular prism is given by,
V = W x l x h
The original volume of the rectangular prism is,
V = wlh
Here the length is 1.5 the original length
So, l = 1.5 x l = (1.5l)
And the with is doubled. So,
W = 2W
The height is tripled. So,
h = 3h
Volume of the new rectangular prism is,
V = (1.5l) (2w) (3h)
V = 9 wlh
We know that wlh is the original volume of the rectangular prism.
So the new volume is 9 times the original volume.
Answer:
V = (1/3)πr²h
Step-by-step explanation:
The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
Cylinder Volume = πr²h
Cone Volume = (1/3)πr²h
where r is the radius (of the base), and h is the height perpendicular to the circular base.
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<em>Comment on area and volume in general</em>
You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...
V = Bh . . . . . for an object with congruent parallel "bases"
V = (1/3)Bh . . . . . for a pointed object with base area B.
This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)
Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)
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* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.
Answer:
Description
Step-by-step explanation:
5 = 47, vertical angles
6 = 74, triangle interior angles add up to 180
7 = 59, linear pairs add up to 180
Answer:
31 degrees
Step-by-step explanation:
well each three point of a triangle equals 180
so 20+35= 55 180-55= 125
now if the exterior angle is 156 and it should equal 180 the interior angle would be 24 degrees
now we have 24 and 125 so angle ? = 31
Answer: I have included an image of the correct answer.
They are skew lines
