A box is 6 inches wide and 12 inches high. If the volume of the box is 1242 cubic inches, about how long is the box?
1 answer:
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Answer:
0.012
Step-by-step explanation:
Linear approximation says that,
For a cube the surface area is .
So the side is 1.0 inch in, the surface area is square inches.
In Linear approximation means you ignore the term , if
is a small number, because then
will be a very smalle number and that does not contribute much to the error.
So the surface area is approximately,
So here,
The error in the area is approximately,
So the error is 0.012.
The area of the square of the leg 6 is 36 square units.
The area of the square of the leg 8 is 64 square units.
The area of the square of the hypotenuse square is 100 square units.
The length of the hypotenuse is 10 units.
Formula Used
Area of square, A =
Here, is the length of the side of the square.
Pythagoras Theorem is given as,
Here, are the hypotenuse, perpendicular, and the base of a right angle triangle respectively.
Area of the Square of the Leg 6
Length of the edge of the square = 6 units
Area of square = 6*6
= 36 square units
Area of the Square of the Leg 8
Length of the edge of the square = 8 units
Area of square = 8*8
= 64 square units
Area of the Hypotenuse Square and the Length of the Hypotenuse
Applying Pythagoras theorem,
Therefore, the area of the hypotenuse square is 100 square units and the length of the hypotenuse comes out to be10 units.
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