To find the length of Grace's pencil, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the width and height of the tissue box form the two sides of a right triangle, with the pencil being the hypotenuse. We can calculate the length of the pencil as follows:
Length of pencil = √(4^2 + 4^2)
Length of pencil = √(16 + 16)
Length of pencil = √32
Length of pencil ≈ 5.7 inches
Therefore, the length of Grace's pencil is approximately 5.7 inches to the nearest tenth of an inch.
Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and a height of 4 inches. The pencil fits perfectly from the upper left corner to the bottom right corner of the box. What is the length of Grace’s pencil to the nearest tenth of an inch?
1 answer
1 answer