Rectangle $ABCD$ is the base of pyramid $PABCD$. If $AB = 8$, $BC = 4$, $\overline{PA}\perp \overline{AD}$, $\overline{PA}\perp
1 answer:
Answer:
<h2>181.33</h2>Step-by-step explanation:
Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.
Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.
Base Area = Length * Breadth
Base Area = AB * BC
Base Area = 8*4 = 32
If , and PB = 17, then the height of the pyramid is PB = 17.
Volume of the pyramid = 1/3 * 32 * 17
Volume of the pyramid = 1/3 * 544
Volume of the rectangular based pyramid = 181.33
You might be interested in
Answer:
y-intercept = 3
Step-by-step explanation:
The given equation is :
6x-5y=-15
We can rewrite it ib slope-intercept form as follows :
Dividing both sides by 5
.....(1)
The general equation of slope-intercept form is:
y = mx +c ....(2)
On comparing equation (1) and (2) we get :
m = 6/5
c = 3
Hence, the y intercept of the graph of the equation is 3.
Answer:
x = 9
y = 6
Step-by-step explanation:
ΔABC ~ ΔPQR
Therefore, corresponding sides of these similar triangles will be in the proportional.
x =
x = 9
Similarly,
y =
y = 6