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  • Hexagonal pyramid

Hexagonal pyramid

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  • Question 1:
    1 pts
    		A hexagonal pyramid has 7 faces, 6 of which are triangles and one which is a hexagon.
  • Question 2:
    1 pts
    		How can we calculate the base area of a hexagonal pyramid?

    A=3⋅a234A=3\cdot \dfrac{a^{2}\sqrt{3}}{4}

    A=a232A= \dfrac{a^{2}\sqrt{3}}{2}

    A=6⋅a232A=6\cdot \dfrac{a^{2}\sqrt{3}}{2}

    A=3⋅a232A=3\cdot \dfrac{a^{2}\sqrt{3}}{2}

  • Question 3:
    1 pts
    		Find the length of the lateral height of the regular hexagonal pyramid shown on the picture.
    95cm9\sqrt{5}cm
    415cm4\sqrt{15}cm
    517cm5\sqrt{17}cm
    43cm4\sqrt{3}cm
  • Question 4:
    1 pts
    		Find the length of the height of the regular hexagonal pyramid shown on the picture.
    93cm9\sqrt{3}cm
    45cm4\sqrt{5}cm
    33cm3\sqrt{3}cm
    43cm4\sqrt{3}cm
  • Question 5:
    2 pts
    		The basic edge of the regular hexagonal pyramid is 6 cm, and the height of the pyramid is equal to the shorter diagonal of the base. Find the volume of the pyramid. *shorter diagonal =a3=a\sqrt{3}

    14⋅6⋅6232⋅63\dfrac{1}{4}\cdot 6\cdot \dfrac{6^{2}\sqrt{3}}{2}\cdot 6\sqrt{3}

    13⋅6⋅6234⋅63\dfrac{1}{3}\cdot 6\cdot \dfrac{6^{2}\sqrt{3}}{4}\cdot 6\sqrt{3}

    13⋅6⋅634⋅63\dfrac{1}{3}\cdot 6\cdot \dfrac{6\sqrt{3}}{4}\cdot 6\sqrt{3}

    13⋅6⋅624⋅12\dfrac{1}{3}\cdot 6\cdot \dfrac{6^{2}}{4}\cdot 12

  • Question 6:
    2 pts
    		The slant edge of a right regular hexagonal pyramid is 10cm10 cm and the height is 8cm.8cm. Find the area of the base.
    Area of the base==
  • Question 7:
    2 pts
    		The slant edge of a right regular hexagonal pyramid is b=35cmb=3\sqrt{5}cm and the base edge is 6cm.6cm. Find the volume of that pyramid.
    483cm348\sqrt{3}cm^{3}
    493cm349\sqrt{3}cm^{3}
    543cm354\sqrt{3}cm^{3}
  • Question 8:
    2 pts
    		A regular hexagonal pyramid has the perimeter of its base 24cm24cm and its altitude is 15cm.15cm. Find its volume.

    813cm381\sqrt{3}cm^{3}

    963cm396\sqrt{3}cm^{3}

    1083cm3108\sqrt{3}cm^{3}

    1203cm3120\sqrt{3}cm^{3}

  • Question 9:
    3 pts
    		Find the surface area of a regular hexagonal pyramid whose height is 6cm6cm and the radius of a circle inscribed in the base is 23cm.2\sqrt{3}cm.
    Surface area ==
  • Question 10:
    3 pts
    		The lateral surface area of regular hexagonal pyramid is 108cm2,108cm^{2}, a the area of its base is $54\sqrt{3}cm^{2]. $ Find the volume of that pyramid.
    V=543cm3V=54\sqrt{3}cm^{3}
    V=1083cm3V=108\sqrt{3}cm^{3}
    V=1623cm3V=162\sqrt{3}cm^{3}
  • Question 11:
    3 pts
    		The base of a right pyramid is a regular hexagon of side 8cm8cm and its slant surfaces are inclined to the horizontal at an angle of 60∘60^{\circ}. Find the surface area.
    Surface area ==
  • Question 12:
    3 pts
    		Find the surface area of two pyramids with their bases stuck together.
    Surface area ==

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