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  • Triangular prism

Triangular prism

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  • Question 1:
    1 pts
    		Find the surface area of the right, regular, triangular prism shown on the picture.
    24⋅(6+23)cm224\cdot (6+2\sqrt{3})cm^{2}
    16⋅(15+23)cm216\cdot (15+2\sqrt{3})cm^{2}
    8⋅(15+3)cm28\cdot (15+\sqrt{3})cm^{2}
    18⋅(10+3)cm218\cdot (10+\sqrt{3})cm^{2}
  • Question 2:
    1 pts
    		Find the surface area of the right, regular, triangular prism if the perimeter of its base is 12cm.12cm.
    6⋅(6+23)cm26\cdot (6+2\sqrt{3})cm^{2}
    6⋅(8+23)cm26\cdot (8+2\sqrt{3})cm^{2}
    8⋅(15+3)cm28\cdot (15+\sqrt{3})cm^{2}
    8⋅(18+3)cm28\cdot (18+\sqrt{3})cm^{2}
  • Question 3:
    1 pts
    		Find the volume of this right, regular, triangular prism if the surface area of its base is 934cm2.\dfrac{9\sqrt{3}}{4}cm^{2}.
    1623cm2.\dfrac{16\sqrt{2}}{3}cm^{2}.
    6334cm2.\dfrac{63\sqrt{3}}{4}cm^{2}.
    8134cm2.\dfrac{81\sqrt{3}}{4}cm^{2}.
    934cm2.\dfrac{9\sqrt{3}}{4}cm^{2}.
  • Question 4:
    1 pts
    		Find the volume of the right, regular, triangular prism whose basic edge is 16cm16 cm long, and the area of total lateral surface is 48cm248 cm ^ {2}

    643cm364\sqrt{3}cm^{3}

    283cm328\sqrt{3}cm^{3}

    163cm316\sqrt{3}cm^{3}

    83cm38\sqrt{3}cm^{3}

  • Question 5:
    2 pts
    		Find the surface area of the right, regular triangular prism whose volume is 33cm3,3\sqrt{3} cm^{3}, and the height of the prism is 3cm3cm
    4⋅(3+4)cm24\cdot (\sqrt{3}+4)cm^{2}
    2⋅(3+9)cm22\cdot (\sqrt{3}+9)cm^{2}
    3⋅(2+9)cm23\cdot (\sqrt{2}+9)cm^{2}
    4⋅(2+6)cm24\cdot (\sqrt{2}+6)cm^{2}
  • Question 6:
    2 pts
    		Find the surface area of the right, regular triangular prism whose base edge is equal to its height, and the sum of all edges is 54cm.54cm.

    6⋅(2+6)cm26\cdot (\sqrt{2}+6)cm^{2}

    8⋅(3+4)cm28\cdot (\sqrt{3}+4)cm^{2}

    18⋅(3+6)cm218\cdot (\sqrt{3}+6)cm^{2}

    2⋅(2+8)cm22\cdot (\sqrt{2}+8)cm^{2}

  • Question 7:
    2 pts
    		The base of a right, regular prism is a triangle whose area is 16\sqrt{3}cm^{2}, and the area of total lateral surface is 48cm2.48 cm ^{2}. Find the volume of that prism.
    V=V=
  • Question 8:
    2 pts
    		The surface area of right, regular triangular prism is 10⋅(53+16)cm210\cdot (5\sqrt{3}+16)cm^{2}, and the length of base edge is 10cm. Find the volume of that prism.

    62533cm3\dfrac{625\sqrt{3}}{3}cm^{3}

    42532cm3\dfrac{425\sqrt{3}}{2}cm^{3}

    40033cm3\dfrac{400\sqrt{3}}{3}cm^{3}

    20033cm2\dfrac{200\sqrt{3}}{3}cm^{2}

  • Question 9:
    3 pts
    		The base of a right prism is a triangle whose sides arc of lengths 13cm,20cm13 cm, 20 cm and 21cm.21 cm. If the height of the prism be 9cm9 cm find the volume of the prism.
    1134cm31134cm^{3}
    996cm3996cm^{3}
    625cm3625cm^{3}
    343cm3343cm^{3}
  • Question 10:
    3 pts
    		Find the surface area of the right, regular, triangular prism shown on the picture if the prism height is equal to the hypothesis of the triangle in the basis.
    A=A=
  • Question 11:
    3 pts
    		The following expression can be used to find the surface area of the triangular prism shown on the picture A=(10⋅82+3⋅12⋅10)cm2A=\left(\dfrac{10\cdot 8}{2}+3\cdot12 \cdot 10\right)cm^{2}
  • Question 12:
    3 pts
    		The following expression can be used to find the surface area of the right, regular, triangular prism shown on the picture A=2⋅62⋅622+12⋅62+2⋅62⋅62=72⋅(2+3)cm2.A=2\cdot \dfrac{6\sqrt{2}\cdot6\sqrt{2}}{2}+12\cdot 6\sqrt{2}+2\cdot 6\sqrt{2}\cdot 6\sqrt{2}=72\cdot \left(\sqrt{2}+3\right)cm^{2}.

Prism

Pyramid

Rotating solids