8(x + 5) = 16
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The number of boxes fitted in the larger container is found out by the volume of both boxes.
The number of boxes fitted into the larger container is 480.
<h3>What is the volume?</h3>
The volume can be defined as the space occupied by an object in three dimensions.
Given that the edge of the cube box is 1/4 ft. The dimensions of the larger box are 3 ft long, 1 1/4 ft wide, and 2 ft.
The volume of the cube box is calculated as given below.
Where Vs is the volume of the cube box and s is the edge of the cube box.
The volume of the larger box is calculated as given below.
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Where V is the volume, l is length, w is width and h is the height of the larger box.
The number of cube boxes fitted into the larger box is calculated as given below.
Hence we can conclude the number of boxes fitted into the larger container is 480.
To know more about the volume, follow the link given below.
The vertex is
Explanation:
The equation is
To find the vertex, we need the equation in the form of
Dividing each term by 2 in the equation
Now, completing the square by adding and subtracting 1, we get,
The first three terms can be written as ,
Multiplying 2 into the bracket, we get,
This equation is of the form
Now, we shall find the vertex
Thus, and
Thus, the vertex is