I know everyone is busy but could u please take a sec for this question???? Thank you in advance.
What is the length of the diagonal for the rectangular prism to the nearest whole unit?
LENGTH:12 cm
WIDTH:4 cm
HEIGHT:9 cm
A.16 cm
B.15 cm
C.13 cm
D.10 cm
i thinks its c. i think...
Neither of you is correct.
http://www.calculatorsoup.com/calculators/geometry-solids/rectangularprism.php
To find the length of the diagonal for a rectangular prism, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the length, width, and height of the rectangular prism form a right triangle. The length (12 cm), width (4 cm), and height (9 cm) are the three sides of this right triangle.
So, using the Pythagorean theorem, we have:
Diagonal^2 = Length^2 + Width^2 + Height^2
Diagonal^2 = 12^2 + 4^2 + 9^2
Diagonal^2 = 144 + 16 + 81
Diagonal^2 = 241
To find the length of the diagonal, we need to find the square root of 241:
Diagonal ≈ √241 ≈ 15.524
Since we are asked to round to the nearest whole unit, the length of the diagonal to the nearest whole unit is 16 cm.
So, the correct answer is A. 16 cm.