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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?

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

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

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

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

  • Question 3:
    1 pts
    		Find the length of the lateral height of the regular hexagonal pyramid shown on the picture.
    $9\sqrt{5}cm$
    $4\sqrt{15}cm$
    $5\sqrt{17}cm$
    $4\sqrt{3}cm$
  • Question 4:
    1 pts
    		Find the length of the height of the regular hexagonal pyramid shown on the picture.
    $9\sqrt{3}cm$
    $4\sqrt{5}cm$
    $3\sqrt{3}cm$
    $4\sqrt{3}cm$
  • 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 $=a\sqrt{3}$

    $\dfrac{1}{4}\cdot 6\cdot \dfrac{6^{2}\sqrt{3}}{2}\cdot 6\sqrt{3}$

    $\dfrac{1}{3}\cdot 6\cdot \dfrac{6^{2}\sqrt{3}}{4}\cdot 6\sqrt{3}$

    $\dfrac{1}{3}\cdot 6\cdot \dfrac{6\sqrt{3}}{4}\cdot 6\sqrt{3}$

    $\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 $10 cm$ and the height is $8cm.$ Find the area of the base.
    Area of the base$=$
  • Question 7:
    2 pts
    		The slant edge of a right regular hexagonal pyramid is $b=3\sqrt{5}cm$ and the base edge is $6cm.$ Find the volume of that pyramid.
    $48\sqrt{3}cm^{3}$
    $49\sqrt{3}cm^{3}$
    $54\sqrt{3}cm^{3}$
  • Question 8:
    2 pts
    		A regular hexagonal pyramid has the perimeter of its base $24cm$ and its altitude is $15cm.$ Find its volume.

    $81\sqrt{3}cm^{3}$

    $96\sqrt{3}cm^{3}$

    $108\sqrt{3}cm^{3}$

    $120\sqrt{3}cm^{3}$

  • Question 9:
    3 pts
    		Find the surface area of a regular hexagonal pyramid whose height is $6cm$ and the radius of a circle inscribed in the base is $2\sqrt{3}cm.$
    Surface area $=$
  • Question 10:
    3 pts
    		The lateral surface area of regular hexagonal pyramid is $108cm^{2},$ a the area of its base is $54\sqrt{3}cm^{2]. $ Find the volume of that pyramid.
    $V=54\sqrt{3}cm^{3}$
    $V=108\sqrt{3}cm^{3}$
    $V=162\sqrt{3}cm^{3}$
  • Question 11:
    3 pts
    		The base of a right pyramid is a regular hexagon of side $8cm$ and its slant surfaces are inclined to the horizontal at an angle of $60^{\circ}$. 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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