Answer:
162m cubed
Step-by-step explanation:
Volume of a rectangular prism is 1/2*b*w*h
1/2*6*9*6=162m cubed
The given equation is:3/4x+5/8=4x
We are then asked to find x.
First step: (5/8) = 4x -(3/4)x
subtract (3/4)x on both sides.
Then divide 3.25 to both sides of the equation: 5/8 = 3.25x
x = 5/26

The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481 feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.
(HINT: Is the base on the surface?)

Square with edge length = 756 feet
Square= 1/2 × 297.45 × 481
= 286,146.9ft
= 1,037,709,9ft. base with edge length =756 feet
area of square,
= Side² = 756 × 756 = 571,563ft²
⇒ area of base = 1/2 = 756/2 = 378ft
By pythagorean theorem,
H² = P²+B²
(481)² = P²+(378)²
P² = (481)²-(378)²
P² = 231,361-142,884
P² = 88,477
P = √88,477
P = 297.45
Area of triangle =1/2 × b × h
= 1/2x297.45*481
= 148.725×481
= 71,536.725
Now 4 area of triangle = 4×71,536.725
= 286,146.9ft
total surface area of pyramid + square
= 751,563+286,146.
= 1,037,709,9ft.


In a trpezium, the median line is always parallel to the bases. The expression for the length of the median of trapezium is :

In the trapezium: NM = ML=LK=PQ=QR=RS
we have : NP = 8, LR =20
Conisder the case of trapezium NPLR, where MQ is the median
From the expression of the length of median:

Now, consider the case of trapezium MQSK, where LR is act as median, MQ= 14, LR =20
From the expression of the length of median

So, the diameter of the bottom KS is 26 inches
Answer : the diameter of the bottom KS is 26 inches