The radius of a spherical glass ornament is 6 centimeters. Twenty-seven ornaments are packed in a cube shaped box with a side length of 36 centimeters. What is the volume of the empty space in the box, rounded to the near whole number?

45.413 cm³

Step-by-step explanation:

Because the volume of a orament is 57 cm³ . The volume of twenty-seven oraments is 1242 cm³ . The volume of a cube is 46656 cm³

⇒The empty space is :

         46656-1242=45414 ( cm³)

                  So the empty space is 45414 cm³  

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb