Using the Pythagorean theorem, we can calculate the length of the diagonal of the rectangular prism.
The diagonal can be thought of as the hypotenuse of a right-angled triangle, where the length, width, and height of the rectangular prism are the other sides of the triangle.
The formula for the length (L) of the diagonal is:
L = √(l² + w² + h²)
where l is the length, w is the width, and h is the height.
Substituting the values given:
L = √(8² + 3² + 7²)
L = √(64 + 9 + 49)
L = √122
L ≈ 11
Therefore, the length of the diagonal of the rectangular prism is about 11 cm (rounded to the nearest whole unit).
What is the length of the diagonal for the given rectangular prism to the nearest whole unit?
Length- 8cm
Width- 3cm
Height- 7cm
1 answer