Yes they are. Given that a volume of a rectangular prism is V=l•w•h, we can plug them into an equation and compare them. I'll call the Right rectangular prism figure R and the oblique rectangular prism O
For Figure R, We know all the basic needs to find the volume. This means we can plug it in.
V=l•w•h
V=12•3•5
Now We can solve for V
V=12•15
V=180
The volume of the right rectangular prism is 180in^3
Now, For figure O.
V=9•4•5
V=9•20
V= 180.
With this in mind, We now can say that the volumes of both the rectangular prisms are the same.
Answer:
x = 2
Step-by-step explanation:
note that 4096 = 
, then
=
Since bases on both sides are equal, both 8 , then equate the exponents
2x = 4 ( divide both sides by 2 )
x = 2
The solution to this question is 39.0625.
This is because you will need to multiply the width by height. As this is in square feet it will be irrespective of which two sides we choose.
The calculation that will need to be done is the following :
6.25ft X 6.25ft which will equal 39.0625.
6.25 has three significant digits so rounding 39.0625 off to three significant digits is 39.1 square feet
2/3 is equivalent to 4/6. Other fractions are 6/9, or 8/12.
To get rid of
, you have to take the third root of both sides:
![\sqrt[3]{x^{3}} = \sqrt[3]{1}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%5E%7B3%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B1%7D%20)
But that won't help you with understanding the problem. It is better to write
as a product of 2 polynomials:
From this we know, that
is the solution. Another solutions (complex roots) are the roots of quadratic equation.
