Respuesta :
Answer:
823.22cm³
Step-by-step explanation:
There are Steps to follow to solve this question.
Firstly,
a) We were given a cube with the length of it's edges as 12cm
b) We were given a base ball with the diameter of 12cm³
Step 1
The first step would be to calculate the Volume of the cube
The Formula to find the volume of a Cube is given as
Volume of a cube =( length of its edges)³
Volume of the cube = (12cm)³ = 12 cm × 12cm × 12cm
Volume of the cube = 1728cm³
Step 2
The second step would be to find the volume of the base ball.
The formula to be used to find the Volume of the base ball would be the Volume of a Sphere.
Volume of a Sphere = Volume of the base ball = 4/3 πr³
We were given the diameter of the base ball in the question as 12cm
Radius of the baseball = Diameter of the baseball ÷ 2
Radius of the base ball = 12cm ÷ 2 = 6cm
Therefore, the Volume of the base ball = 4/3 × π × 6³
Volume of the base ball = 904.78cm³
Step 3
The third and final step would be to find the left over space that the baseball does not occupy in the glass box.
This is calculated as:
Volume of the cube - Volume of the base ball.
Left over space = 1728cm³ - 904.78cm³
= 823.22cm³
Therefore, the left over space that the baseball does not occupy in the glass box is 823.22cm³
