Surface area of 12 inches x 5 inches x 8 inches

422 in²

Step-by-step explanation:

The surface area of a figure can be found using the general formula:

SA = 2ab + 2bc + 2ac, where 'a, b, c' are the side lengths of the object

Using the given dimensions, assign variables:

a = 12

b = 5

c = 8

Plug these into the equation:

SA = 2(12*5) + 2(5*8) + 2(12*8)

SA = 150 + 80 + 192 = 422 in²

b

step-by-step explanation:

b

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