To find the length of the diagonal of the rectangular prism, we can use the Pythagorean theorem, which states that the square of the length of the diagonal is equal to the sum of the squares of the length, width, and height of the rectangular prism.
So,
Diagonal^2 = Length^2 + Width^2 + Height^2
Diagonal^2 = 8^2 + 3^2 + 7^2
Diagonal^2 = 64 + 9 + 49
Diagonal^2 = 122
Taking the square root of both sides, we get:
Diagonal = sqrt(122) ≈ 11
Therefore, the length of the diagonal to the nearest whole unit is 11 cm.
The answer is O 11 cm.
15. What is the length of the diagonal for the given rectangular prism to the nearest whole unit? (1 point)
Length = 8 cm
Width=3 cm
Height = 7 cm
O 10 cm
O 11 cm
O 6 cm
O 13 cm
1 answer