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A long rectangular block with a smaller block of trapezoidal cross-section on top of it, and an arrow pointing at the right-hand end face

A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above.

Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by an arrow in the above figure?

  • A.A rectangle with a trapezoid on top, its vertical side on the right and slanted side on the left, with the right edges aligned
  • B.A rectangle crossed by a slanted line that continues up into a trapezoid whose top overlaps the rectangle, vertical side on the right
  • C.A rectangle with a trapezoid on top, its vertical side on the left and slanted side on the right
  • D.A plain rectangle crossed by a single slanted line

Answer: A

The correct view is drawing (A).

Looking along the arrow, at the end of the long lower block, that block shows as a plain rectangle: its end face is flat, and the upper block sits on top of it, so no line of the upper block can cross this rectangle. The upper block appears above it in its trapezoidal cross-section. In the picture its face towards the viewer has a sloping edge on the near-left side and an almost vertical edge on the far side, so in the view the trapezoid has its sloping side on the left and its vertical side on the right, standing towards the right of the rectangle.

Drawings (B) and (D) carry a sloping line across the lower rectangle, which the flat end face cannot show. Drawing (C) puts the sloping side of the trapezoid on the right, which is the mirror image of the correct view.

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