Question

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 40 cm. Find the length of the diagonal of the rectangular prism. Round the answer to the nearest tenth.

Answer 1

Let $x$ be the length of the diagonal.
Let $a$, $b$, and $c$ be the length, width, and height, respectively, of the rectangular prism. We have the equations $a=32$, $b=24$, $c=44$, $a^2+b^2=40^2=1600$, and $a^2+b^2+c^2=x^2$. Since $c$ is the longest side length, C is the answer. The length of the diagonal of the rectangular prism is $\boxed{55.2}$.