Answer:
C. 36 in.
Step-by-step explanation:
The wall is 66 inches high by 72 inches wide.
The tiles are
a) 9 inch square = 3 by 3
b) 16 inch square = 4 by 4
c) 36 inch square = 6 by 6
d) 64 inch square = 8 by 8
Factors of 66 = 2 x 3 x 11
Factors of 72 = 2 x 2 x 2 x 3 x 3
Now, we can see that in both 66 and 72 , we have 2 x 3 common that is 6.
And square of 6 is 36.
So, the answer is option C.
The rule for exponents of exponents is:
a^b^c=a^(b*c), in this case:
x^(3/8)^(2/3)
x^((3/8)*(2/3))
x^(6/24)
x^(1/4)
So x^(1/4) is equal to the fourth root.
The equation for the volume of a cube is V=s^3, where V is volume and s is side length. Plug in and solve:
V=4.5^3
V=4.5*4.5*4.5
V=91.125ft^3
Hope this helps!!
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