C

1103162606

Level: 
C
The figure below shows two semicircles \( \widehat{AB} \) and \( \widehat{DA} \). Find the dilation scale factor if you know that the semicircle \( \widehat{DA} \) is the image of the semicircle \( \widehat{AB} \) in dilation with the centre \( C \).
\( -0.5 \)
\( 0.5 \)
\( -0.25 \)
\( 0.75 \)

1103235607

Level: 
C
Find the surface area of a regular hexagonal prism with lateral edge length of \( 10\sqrt3\,\mathrm{cm} \) and a base edge length of \( 6\,\mathrm{cm} \) (see the picture).
\( 468\sqrt3\,\mathrm{cm}^2 \)
\( 414\sqrt3\,\mathrm{cm}^2 \)
\( 168\sqrt3\,\mathrm{cm}^2 \)
\( 408\sqrt3\,\mathrm{cm}^2 \)

1103235606

Level: 
C
Find the volume of a regular hexagonal prism with lateral edge length of \( 12\,\mathrm{cm} \) and a base edge length of \( 9\,\mathrm{cm} \) (see the picture).
\( 1458\sqrt3\,\mathrm{cm}^3 \)
\( 243\sqrt3\,\mathrm{cm}^3 \)
\( 1944\sqrt3\,\mathrm{cm}^3 \)
\( 729\sqrt3\,\mathrm{cm}^3 \)

1103235605

Level: 
C
A regular hexagonal pyramid has the perimeter of its base \( 12\sqrt3\,\mathrm{cm} \) and its slant height is \( 5\,\mathrm{cm} \). Find the surface area.
\( 48\sqrt3\,\mathrm{cm}^2 \)
\( 72\sqrt3\,\mathrm{cm}^2 \)
\( 30\sqrt3\,\mathrm{cm}^2 \)
\( 96\sqrt3\,\mathrm{cm}^2 \)
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