The length of the prism is 32cm, the width is 25cm, the height is 44cm, and the leggy of the diagonal of the base, segment BH, is 40cm. Find the length of the diagonal of the rectangular prism, segment BE, round the answer to the nearest tenth
Using the Pythagorean theorem, we can find the length of the diagonal of the rectangular prism.
In triangle BHE, we have BH = 40cm, BE (the length of the diagonal we want to find), and HE (which is the height of the rectangular prism and equal to 44cm).
Using the Pythagorean theorem, we have:
BE² = BH² + HE²
BE² = 40² + 44²
BE² = 1600 + 1936
BE² = 3536
Taking the square root of both sides:
BE ≈ √3536
BE ≈ 59.4 cm
Therefore, the length of the diagonal of the rectangular prism (segment BE) is approximately 59.4 cm.