Aright rectangular prism has a length of 8 ft, width of 8 1/4 ft, and height of 4 1/2 ft. what is the volume of the prism?

297 cubic feet

Step-by-step explanation:

We are given that a right rectangular prism has a length of 8 ft, width of 8 1/4 ft, and height of 4 1/2 ft.

We are to find the volume of this prism.

We know the formula of volume of a rectangular prism is given by:

where is the width,   is the height and   is the length of the prism.

So substituting the given values in the formula:

Volume of prism = 297 cubic feet

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