Volume of a right prism
NMT\[V=S_{\rm осн}H\]
NMT / ZNO
Formulas and reference
A compact mathematics reference in two levels: the NMT exam sheet and the full ZNO formula set.
ZNO — full reference
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Geometry
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20 formulas
Full ZNO
Expanded school formula set. The “NMT” badge marks formulas also present on the compact sheet.
Solid geometry
Prism
Lateral surface area of a right prism
NMT\[S_{\rm біч}=P_{\rm осн}H\]
Total surface area of a prism
\[S_{\rm повн}=S_{\rm біч}+2S_{\rm осн}\]
Solid geometry
Cuboid
Volume of a rectangular cuboid
\[V=abc\]
Diagonal of a rectangular cuboid
\[d=\sqrt{a^2+b^2+c^2}\]
Solid geometry
Cube
Volume of a cube
\[V=a^3\]
Surface area of a cube
\[S_{\rm повн}=6a^2\]
Diagonal of a cube
\[d=a\sqrt3\]
Solid geometry
Pyramid
Volume of a pyramid
NMT\[V=\frac13S_{\rm осн}H\]
Lateral surface area of a regular pyramid
NMT\[S_{\rm біч}=\frac12P_{\rm осн}m\]
m — apothem.
Total surface area of a pyramid
\[S_{\rm повн}=S_{\rm біч}+S_{\rm осн}\]
Solid geometry
Cylinder
Volume of a cylinder
NMT\[V=\pi R^2H\]
Lateral surface area of a cylinder
NMT\[S_{\rm біч}=2\pi RH\]
Total surface area of a cylinder
\[S_{\rm повн}=2\pi R(R+H)\]
Solid geometry
Cone
Slant height of a right cone
\[L=\sqrt{R^2+H^2}\]
Volume of a cone
NMT\[V=\frac13\pi R^2H\]
Lateral surface area of a cone
NMT\[S_{\rm біч}=\pi RL\]
Total surface area of a cone
\[S_{\rm повн}=\pi R(R+L)\]
Solid geometry
Sphere
Volume of a sphere
NMT\[V=\frac43\pi R^3\]
Solid geometry
Sphere surface
Surface area of a sphere
NMT\[S=4\pi R^2\]
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