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A box with a volume of 864 ft³ is built to hold a statue. A scaled replica of the statue needs to be transported in a
box that is scaled by 1
3
.
What is the volume of the replica's box? ft³

The volume of the replica should be 287.99 ft^3 or 288 ft^3

Step-by-step explanation:

Find decimal of 1/3 by dividing=0.33333333

Multiply 864 by 0.33333333 to set to scale=297.9999997 cubed feet

Round if needed=288 cubed feet

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.