18xy ⠀⠀⠀⠀⠀⠀⠀⠀⠀<span>⠀⠀⠀⠀⠀⠀⠀⠀⠀</span>
Answer:

Step-by-step explanation:
Let's factorize the 1st option :
⇒ 
⇒ 
⇒ 
===============================================================
Finding the zeros :
⇒ Factors of numerator should be equated to 0
- x + 1 = 0 ⇒ x = -1
- x - 6 = 0 ⇒ x = 6
=============================================================
Solution :

we know that
the equation of the sphere is equal to

where
(h,k,l) is the center of the sphere
r is the radius of the sphere
In this problem
the center is (5, 6, 1) and the radius is 2 units
so
the equation of the sphere is equal to

<u>a) the equation of a circle that is parallel to the xy-plane is</u>
For z=1

<u>b) the equation of a circle that is parallel to the yz-plane is</u>
For x=5

<u>c) b) the equation of a circle that is parallel to the xz-plane is</u>
For y=6

Here's the solution,
let the sides of cube be a
now, we know
<em><u>Surface area </u></em>=

So,
=》

=》

=》

=》

=》

=》

Each side of <em><u>cube</u></em> measures 2.5 cm
<em><u>volume</u></em> :
=》

=》

=》

=》
