How many faces, edges and vertices does the shape below have?
2 answers:
<h2><u>PENTAGONAL PYRAMID</u></h2><h3>Answer:</h3>
Faces = 6
Edges = 10
Vertices = 6
<h3>Explanation:</h3>A <u>face</u> is any of the flat surfaces of a solid object, meaning that the pentagonal pyramid has got 6 faces in total; 5 triangles, and 1 pentagon (5+1=6)
An <u>edge</u> is a line segment where two faces meet, and they also join each vertex with another. So if we look at the base of the pentagonal pyramid (which is a pentagon) we can see that it has got 5 edges, and then, when we look at the edges that connect the triangles with eachother, there are 5 more edges, so 5+5=10.
A <u>vertex</u> is where two or more line segments (edges) meet. The base (pentagon) has 5 vertices, and at the top, where the 5 triangles' edges connect, there is another vertex (just 1). So 5+1=6.
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Answer:
Let x represents the Sara eat pancake and y represents the Phil eat the pancake.
As per the statement:
Phil ate three less than twice as many pancakes as Sara.
"Twice as many pancake as Sara" means 2x
"three less than twice as many pancakes as Sara" means 2x -3
⇒ .....[1]
It is also given that together they combined to eat 15 pancakes.
⇒ .....[2]
Substitute equation [1] into [2] we get;
Combine like terms;
3x-3 =15
Add 3 to both sides we get;
3x = 18
Divide both sides by 3 we get;
x = 6
Substitute the value of x in [1] we get;
y = 2(6)-3 = 12-3 =9
y = 9
Therefore, the pancakes did each eat are;
Sara eat pancake = 6 and Phil eat pancake = 9