A marble has a radius of 16 mm.Approximately how many marbles will fit in a cube-shaped container with each side equal to 36 cm?
A)20
B)510
C)1 420
D)80

Question

​A marble has a radius of 16 mm.Approximately how many marbles will fit in a cube-shaped container with each side equal to 36 cm?
A)​20
B)​510
C)​1 420
D)​80

Quizplus · Accepted Answer

First, we need to convert the side length of the cube to millimeters (since the marble's radius is given in millimeters). 
36 cm = 36,000 mm

Next, we need to find the length of each side of the cube that is divisible by the diameter of the marble (which is 32 mm). We can do this by dividing the length of each side of the cube by 32 mm and rounding down to the nearest whole number.

36,000 mm / 32 mm ≈ 1125

So each side of the cube can accommodate 1125 marbles. To find the total number of marbles the cube can hold, we need to multiply this number by 3 (since there are 3 sets of 1125 marbles in the cube, one for each dimension).

1125 x 1125 x 1125 x 3 = 1,419,726

Rounding this down to the nearest whole number, we get 1,420 marbles, which is closest to choice C. Therefore, the answer is C.

​A Marble Has a Radius of 16 Mm

A Marble Has a Radius of 16 Mm