1003163804
Level:
A
By what percentage does the volume of a cube decrease if we shorten its edge by \( 50\,\% \)?
\( 87.5\,\% \)
\( 12.5\,\% \)
\( 50\,\% \)
\( 25\,\% \)
Volume and surface of solids
1003163803
Level:
A
How much does the volume of a cube increase if we lengthen its edge two times?
\( 8\times \)
\( 4\times \)
\( 2\times \)
\( 16\times \)
1003163802
Level:
A
The surface area of a rectangular prism is \( 832\,\mathrm{cm}^2 \), and the ratio of its length, width and height is \( 2:3:4 \). Find the volume of this prism.
\( 1536\,\mathrm{cm}^3 \)
\( 3072\sqrt2\,\mathrm{cm}^3 \)
\( 1536\sqrt3\,\mathrm{cm}^3 \)
\( 98304\,\mathrm{cm}^3 \)
1003163801
Level:
A
The volume of a rectangular prism is \( 1620\,\mathrm{cm}^3 \), the ratio of its length, width and height is \( 3:4:5 \). Find the surface area of this prism.
\( 846\,\mathrm{cm}^2 \)
\( 423\,\mathrm{cm}^2 \)
\( 7614\,\mathrm{cm}^2 \)
\( 3807\,\mathrm{cm}^2 \)
1103164609
Level:
B
Find the volume of the trapezoidal prism from the picture.
\( 4140\,\mathrm{cm}^3 \)
\( 2070\,\mathrm{cm}^3 \)
\( 3680\,\mathrm{cm}^3 \)
\( 1840\,\mathrm{cm}^3 \)
1103164608
Level:
B
Find the surface area of the trapezoidal prism from the picture.
\( 316\,\mathrm{cm}^2 \)
\( 368\,\mathrm{cm}^2 \)
\( 264\,\mathrm{cm}^2 \)
\( 184\,\mathrm{cm}^2 \)
1103164607
Level:
B
Find the volume of the trapezoidal prism from the picture.
\( 700\,\mathrm{cm}^3 \)
\( 1400\,\mathrm{cm}^3 \)
\( 800\,\mathrm{cm}^3 \)
\( 2400\,\mathrm{cm}^3 \)
1103164606
Level:
B
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:
\( 3\,\mathrm{cm} \)
\( 6\,\mathrm{cm} \)
\( 1.5\,\mathrm{cm} \)
\( 9\,\mathrm{cm} \)
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.
\( 120\,\mathrm{dm}^3 \)
\( 240\,\mathrm{dm}^3 \)
\( 60\,\mathrm{dm}^3 \)
\( 80\,\mathrm{dm}^3 \)
1103164604
Level:
B
Find the surface area of the right triangular prism from the picture.
\( 120\,\mathrm{cm}^2 \)
\( 96\,\mathrm{cm}^2 \)
\( 240\,\mathrm{cm}^2 \)
\( 60\,\mathrm{cm}^2 \)