The volume of the box without the lid is 500 cubic inches.
<h3>What is volume?</h3>
The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.
Another way to think of volume is as the amount of space a three-dimensional object takes up.
Calculation for the volume of the box-
The volume of a box without a lid is given by the formula v = 4x(10-x)².
Where,
'x' is a length in inches, and
'v' is the volume in cubic inches.
The volume when x = 5 inches.
Substitute the value of 'x' in the formula of volume;
v = 4×5(10-5)²
= 20×5²
v = 500
Therefore, the volume of a box without a lid is 500 cubic inches.
To know more about the volume of a cardboard shoe box, here
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Answer:
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Step-by-step explanation:
Answer:
(x - 4)² + (y + 6)² = 5²
Step-by-step explanation:
rearrange the general equation as follows
collect the terms in x and y together and place the constant on the right side
x² - 8x + y² + 12y = - 27
add (half the coefficient of the x/y term)² to both sides
x² + 2(- 4)x + y² + 2(6)y = - 27
(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36
(x - 4)² + (y + 6)² = 25
(x - 4)² + (y + 6)² = 5² ← in standard form
