A rectangular prism is completely packed with 180 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism? 1. 19 unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each
2. 19 unit cubes and 27 smaller cubes of volume fraction 1 over 27 cubic inch each
3. 6 unit cubes and 6 smaller cubes of volume fraction 1 over 27 cubic inch each
4. 6 unit cubes and 18 smaller cubes of volume fraction 1 over 27 cubic inch each

equal to

step-by-step explanation:

7.3

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752