Find the lateral surface area of the prism. geometry hw
1 answer:
Answer:
250
Step-by-step explanation:
Hello There!
The prism shown is a pentagonal prism
And we need to find the lateral surface area ( pretty much area of everything except for the bases.)
We can calculate the lateral surface area by using this formula
where a (on the right hand side) equals the base edge length and h = height
(btw the 5 represents the number of sides)
so the base edge length of the shown figure is 5 and the height is 10
having found this information we plug it into the formula
so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²
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Answer:
(5, -1)
Step-by-step explanation:
The three coordinates of a triangle are given as:
(5,3), (-5,3), (-5,-1).
To find:
The missing vertex = ?
Solution:
Let us label the vertices:
A (5,3),
B(-5,3),
C(-5,-1).
Let the missing vertex be ().
Let us recall the properties of a rectangle.
The <em>opposite sides</em> of the rectangle are equal and parallel to each other.
Let us consider the side AB, we can see that only x coordinate is changed from A to B.
Let us consider the side BC, we can see that only y coordinate is changed from B to C.
A and B are adjacent vertices.
Similarly the opposite vertices will be C and D.
Same pattern will be followed in CD as that of AB.
x coordinate will be changed by same difference as that of AB.
Change in x coordinate from D to C =
Change in x coordinate from A to B =
Equating them:
Same pattern is followed in BC and AD.
Their change in y coordinate will be same.
Missing vertex is <em>(5, -1)</em>.
Please refer to the attached image for the rectangle.
