the length of the prism is 32 cm the width od 24 cm the height is 44 sm and the length od the diagonal of the base segment BH is 40 cm find the length of the diagonal of the rectangular prism segment BH. Round the answer to the nearest tenth
a. 59.5 cm
b. 51.2 cm
c. 54.4 cm
d. 46.6 cm
To find the length of the diagonal of the rectangular prism segment BH, we can use the Pythagorean theorem.
Let a be the length of the prism (32 cm), b be the width (24 cm), c be the height (44 cm), and d be the diagonal of the base segment BH (40 cm).
Using the Pythagorean theorem: d = sqrt(a^2 + b^2) + c^2
d = sqrt(32^2 + 24^2 + 44^2)
d = sqrt(1024 + 576 + 1936)
d = sqrt(3536)
d ≈ 59.5 cm
Therefore, the length of the diagonal of the rectangular prism segment BH is approximately 59.5 cm.
Answer: a. 59.5 cm