The length of the prism is 32 cm the width is 24 cm the height is 44 cm and the length of the diagonal of the base segment B is 40 cm find the length of the diagonal of the rectangular prism segment B round the answer to the nearest 10th
To find the length of the diagonal of the rectangular prism, we can use the Pythagorean Theorem.
Let's denote the length of the diagonal of the rectangular prism as d.
We know that the length of segment B, which is one of the sides of the base of the prism, is 40 cm.
Using the Pythagorean Theorem, we can set up the following equation:
d^2 = 24^2 + 40^2
d^2 = 576 + 1600
d^2 = 2176
To find the value of d, we take the square root of both sides:
d = √2176
d ≈ 46.64
Therefore, the length of the diagonal of the rectangular prism (segment B) is approximately 46.6 cm (rounded to the nearest 10th).