\[\mathbf{Страница\ 71.}\]
\[\boxed{\mathbf{2.}}\]
\[a\] | \[3\ м\] | \[400\ см\] | \[20\ см\] | \[12\ дм\] | \[16\ см\] | \[3\ дм\] |
---|---|---|---|---|---|---|
\[b\] | \[10\ м\] | \[400\ см\] | \[35\ см\] | \[10\ дм\] | \[160\ мм\] | \[50\ см\] |
\[c\] | \[5\ м\] | \[200\ см\] | \[200\ мм\] | \[50\ см\] | \[2\ м\] | \[1\ дм\] |
\[V\] | \[150\ м^{3}\] | \[32\ м^{3}\] | \[14\ 000\ см^{3}\] | \[600\ дм^{3}\] | \[51\ 200\ см^{3}\] | \[15\ дм^{3}\] |
\[\boxed{\mathbf{3.}}\]
\[\textbf{а)}\ 64\ см^{3}\]
\[\textbf{б)}\ 125\ см^{3}\]
\[\textbf{в)}\ 216\ см^{3}\]
\[\textbf{г)}\ 512\ см^{3}\]
\[\boxed{\mathbf{4.}}\]
\[\textbf{а)}\ V_{1} = a^{3};\ \ \ V_{2} = (2a)^{3} = 8a^{3}\]
\[Увеличится\ в\ 8\ раз.\]
\[\textbf{б)}\ V_{1} = a^{3};\ \ \ V_{2} = (3a)^{3} = 27a^{3}.\]
\[Увеличится\ в\ 27\ раз.\]
\[\boxed{\mathbf{5.}}\]
\[\textbf{а)}\ V_{1} = a^{3};\ \ \ V_{2} = (a\ :2)^{3} =\]
\[= a^{3}\ :8\]
\[Уменьшится\ в\ 8\ раз.\]
\[\textbf{б)}\ V_{1} = a^{3};\ \ \ V_{2} = (a\ :3)^{3} =\]
\[= a^{3}\ :27\]
\[Уменьшится\ в\ 27\ раз.\]
\[\boxed{\mathbf{6.}}\]
\[1\ м = 100\ см.\]
\[V = 100 \cdot 70 \cdot 50 = 350\ 000\ см^{3} =\]
\[= 350\ \left( дм^{3} \right) - объем\ бака.\]
\[350\ (кг) - масса\ воды.\]
\[Ответ:350\ кг.\]