Answer:
48 ft³
Step-by-step explanation:
To find the height, you can use the slant height and the base.
Using the Pythagorean Theorem and 3 as the triangle's base,
a²+b²=c²
3²+b²=5²
9+b²=25
b²=16
b=4
The height of the pyramid is 4.
Volume formula for the pyramid is
Inserting our measurements:
Answer: The required scale factor of the dilation is 4.
Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.
We are to find the scale factor of the dilation.
From the graph, we note that
JH = 2 units and J'H' = 8 units.
We know that
Therefore, the scale factor of the given dilation is
Thus, the required scale factor of the dilation is 4.