Answer:
Surface area of the cube = 216 square units
Step-by-step explanation:
Let the length of a side of a cube = x unit
Diameter of the sphere inscribed in this cube = length of a side of the cube
Volume of the sphere = 
Where r = radius of the sphere = 
units
36π = 
36π = 
36×24 = 4x³
x = ![\sqrt[3]{\frac{36\times 24}{4} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B36%5Ctimes%2024%7D%7B4%7D%20%7D)
x = 6 units
Length of a side of the cube = 6 units
Surface area of the cube = 6×(Side)²
= 6×(6)²
= 216
= 216 square units
Answer:
The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles ( 45 and 60 in this case) from 180.
x = 180-60-45
180-60-45=75
so x = 75
To find y we know that angle x and and y are angles formed on a straight line that are split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.
So knowing that angle x = 75 we can find angle y by subtracting 75 from 180
180-75=105 so y = 105
Another way we could solve for y is the exterior triangle rule
This rule states that an exterior angle of a triangle is equal to the two opposite interior angles
so y = 45 + 65
45 + 65=105
so y = 105
Step-by-step explanation:
Answer:
2.5
×
t
=
2.5
t
Step-by-step explanation:
