A square pyramid has a height h and a base with side length b. The side lengths of the base increase by 50%. Write a simplified
1 answer:
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Answer:
Option A.) is correct by AA similarity. There are two angles that are congruent given by
.
This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.
Step-by-step explanation:
From the given figure we can say that
i) Option A.) is correct by AA similarity. There are two angles that are congruent given by
.
This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.
For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:
Where:
: It is the area of the base
h: It's the height
Substituting:
The volume of the pyramid is given by:
Where:
It is the area of the base
h: It's the height
Substituting:
We add and we have:
ANswer:
Option D