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  • Geometry
  • Quadrilaterals
  • Rectangular and square pyramid

Rectangular and square pyramid

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  • Question 1:
    1 pts
    		The net of a paperweight is shown below. Which is closest to the lateral surface area of the paperweight?
    21cm221cm^{2}
    18cm218cm^{2}
    9cm29cm^{2}
    6cm326cm^{32}
  • Question 2:
    1 pts
    		The following expression can be used to find the surface area of the pyramid shown on the picture. A=42+4⋅4⋅82=16+64=80cm2 A=4^{2}+4\cdot \dfrac{4\cdot 8}{2}=16+64=80cm^{2}
  • Question 3:
    1 pts
    		The following expression can be used to find the volume of the pyramid shown on the picture. V=(52⋅9)cm3=225cm3 V=\left(5^{2}\cdot 9\right)cm^{3}=225cm^{3}
  • Question 4:
    1 pts
    		The following expression can be used to find the surface area of the pyramid shown on the picture. A=(302+2⋅30⋅17)cm2 A= \left(30^{2}+2\cdot 30\cdot 17 \right)cm^{2}
  • Question 5:
    2 pts
    		Find the volume of the pyramid shown on the picture.
    V=(12⋅10⋅18⋅12)cm3V=\left(\dfrac{1}{2}\cdot10\cdot 18\cdot 12\right) cm^{3}
    V=(10⋅18⋅12)cm3V=\left(10\cdot 18\cdot 12\right) cm^{3}
    V=(13⋅10⋅18⋅12)cm3V=\left(\dfrac{1}{3}\cdot10\cdot 18\cdot 12\right) cm^{3}
    V=(13⋅10⋅18⋅6)cm3V=\left(\dfrac{1}{3}\cdot10\cdot 18\cdot 6\right) cm^{3}
  • Question 6:
    2 pts
    		The diagonal of the base of the regular rectangular pyramid is 82cm,8\sqrt{2} cm, and the surface area of one lateral side is 2020 square centimeters. Find the surface area of the pyramid.

    A=144cm2A=144 cm^{2}

    A=169cm2A=169 cm^{2}

    A=196cm2A=196 cm^{2}

    A=225cm2A=225 cm^{2}

  • Question 7:
    2 pts
    		The surface area of the base of regular square pyramid is 144144 square centimeters, and the sum of the length of base edge and lateral edge is 22cm.22 cm. Find the surface area od that pyramid.
    A=A=
  • Question 8:
    2 pts
    		Find the height of the rectangular pyramid shown on the picture.
    Height==
  • Question 9:
    3 pts
    		Find the slant height of the square pyramid shown on the picture.
    72cm7\sqrt{2}cm
    33cm3\sqrt{3}cm
    63cm6\sqrt{3}cm
    92cm9\sqrt{2}cm
  • Question 10:
    3 pts
    		The total surface area of the frustum will be A=322+162+4⋅((16+32)2⋅10)cm2A=32^{2}+16^{2}+4\cdot \left(\dfrac{(16+32)}{2}\cdot 10\right)cm^{2}
  • Question 11:
    3 pts
    		A regular pyramid has a height of 11cm11 cm and a square base. If the volume of the pyramid is 528528 cubic centimeters, how many centimeters are in the length of one side of its base?

    5cm5cm

    8cm8cm

    12cm12cm

    14cm14cm

  • Question 12:
    3 pts
    		Tim has a rectangular prism with a length of 1010 centimeters, a width of 22 centimeters and an unknown height. He need to built another rectangular prism with a length of 55 cm and the same height as the orign prism. The volume of this two prism will be the same. Find the width, in centimeters, of the new prism.

    4cm4cm

    8cm8cm

    10cm10cm

    12cm12cm

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