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 BH, is 40 cm. Find the length of the diagonal of the rectangular prism, segment BE. Round the answer to the nearest tenth.
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To find the length of diagonal BE, we can use the Pythagorean theorem. The length diagonal BH and the height form a right triangle. Let's label the length of BE as x.
Using the Pythagorean theorem, we have:
(32 cm)^2 + (24 cm)^2 = (40 cm)^2 + x^2
1024 cm^2 + 576 cm^2 = 1600 cm^2 + x^2
1600 cm^2 + x^2 = 1600 cm^2 + x^2
x^2 = 1600 cm^2 - 1600 cm^2
x^2 = 0 cm^2
Since the diagonal length cannot be 0 cm, this means there is an error in the given information or calculations.
Therefore, we cannot determine the length of diagonal BE with the given information.