Discussion
A square prism of 40 mm side standing on its base is cut at 45 degrees to the base. The longer side of the rectangular true shape measures about
Answer: B
Correct answer: 56.6 mm
The cut is at 45 degrees to the base, so the dimension across the inclined faces is stretched by \( 1/\cos 45^\circ \): \[ \frac{40}{0.7071} = 56.6\ \mathrm{mm}. \] The other side of the rectangle remains 40 mm, being unaffected by the inclination - which is why the true shape is a rectangle rather than a square.
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