Volume and surface area formulas

1103164605

Level: 
B
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.
\( 120\,\mathrm{dm}^3 \)
\( 240\,\mathrm{dm}^3 \)
\( 60\,\mathrm{dm}^3 \)
\( 80\,\mathrm{dm}^3 \)

1103165901

Level: 
B
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 \( \pi \).
\( V=72\pi\,\mathrm{cm}^3 \), \( S=66\pi\,\mathrm{cm}^2 \)
\( V=144\pi\,\mathrm{cm}^3 \), \( S=198\pi\,\mathrm{cm}^2 \)
\( V=144\pi\,\mathrm{cm}^3 \), \( S=66\pi\,\mathrm{cm}^2 \)
\( V=72\pi\,\mathrm{cm}^3 \), \( S=198\pi\,\mathrm{cm}^2 \)

1103165905

Level: 
B
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.
\( 628.3\,\mathrm{cm}^2 \)
\( 1256.6\,\mathrm{cm}^2 \)
\( 314.2\,\mathrm{cm}^2 \)
\( 785.4\,\mathrm{cm}^2 \)

1103165906

Level: 
B
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.
\( 105.12\,\mathrm{cm}^2 \)
\( 52.56\,\mathrm{cm}^2 \)
\( 135.54\,\mathrm{cm}^2 \)
\( 210.24\,\mathrm{cm}^2 \)

1103170701

Level: 
B
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 \( \pi \).
\( V=96\pi\,\mathrm{cm}^3 \), \( S=96\pi\,\mathrm{cm}^2 \)
\( V=96\pi\,\mathrm{cm}^3 \), \( S=84\pi\,\mathrm{cm}^2 \)
\( V=288\pi\,\mathrm{cm}^3 \), \( S=84\pi\,\mathrm{cm}^2 \)
\( V=16\pi\,\mathrm{cm}^3 \), \( S=96\pi\,\mathrm{cm}^2 \)