A triangular prism has a triangular base with the side \( a \) of \( 6\,\mathrm{dm} \) and with the height \( v_a \) of \( 4\,\mathrm{dm} \). The height \( h \) of the prism is \( 10\,\mathrm{dm} \) (see the picture). Find the volume of the prism.
Let there be a trapezoidal prism with the base area of \( 20\,\mathrm{cm}^2 \) and the volume of \( 60\,\mathrm{cm}^3 \) (see the picture). The height of the prism is:
Find the volume and the surface area of a cylinder with the radius \( 3\,\mathrm{cm} \) and the height \( 8\,\mathrm{cm} \) (see the picture). Give your result in terms of \( \pi \).
How much paper do we need to label the can of peas with diameter of \( 10\,\mathrm{cm} \) and height of \( 20\,\mathrm{cm} \)? (Label covers the side of the can completely, the bottom and the top base are not labelled.) Round your result to \( 1 \) decimal place.
The volume of a cylinder with the height of \( 12\,\mathrm{cm} \) is \( 60\,\mathrm{cm}^3 \). Find the surface area of this cylinder. Round your result to \( 2 \) decimal places.
Let there be a cone with the base radius of \( 6\,\mathrm{cm} \) and the perpendicular height of \( 8\,\mathrm{cm} \). Find the volume and surface area of the cone. Leave your answer in terms of \( \pi \).