a) \(\displaystyle{P}_{{{a}{t}{m}}}={1}\ {a}{t}{m}={101325}\ \frac{{N}}{{m}^{{2}}}\)

Pressure due to water \(\displaystyle=\rho{g}{h}={\left({1.05}\cdot{10}^{{3}}\right)}{\left({9.81}\right)}{\left({\frac{{{0.599}}}{{{2}}}}\right)}={3085}\frac{{m}}{{m}^{{2}}}\)

Net pressure \(\displaystyle={101325}+{3085}={104410}\ \frac{{N}}{{m}^{{2}}}\)

Cross sectional area of the cube \(\displaystyle={L}^{{2}}={0.36}{m}^{{2}}\)

Net force \(\displaystyle={P}\cdot{A}={37587.6}{N}\)

b) \(\displaystyle{P}_{{{a}{t}{m}}}={1}\ {a}{t}{m}={101325}\frac{{N}}{{m}^{{2}}}\)

Pressure due to water \(\displaystyle=\rho{g}{h}={\left({1.05}\cdot{10}^{{3}}\right)}{\left({9.81}\right)}{\left({3}\cdot{\frac{{{0.599}}}{{{2}}}}\right)}={9255}\ \frac{{N}}{{m}^{{2}}}\)

Net pressure =101325+9255=110580 \(\displaystyle\frac{{N}}{{m}^{{2}}}\)

Cross sectional area of the cube \(\displaystyle={L}^{{2}}={0.36}{m}^{{2}}\)

Net force \(\displaystyle={P}\cdot{A}={39808.8}{N}\)

c) Weight of the cube \(\displaystyle={m}{g}={970}{c}{d}{\quad\text{or}\quad}{9.81}={9515.7}\ {N}\)

\(\displaystyle{T}={37587.6}+{9515.7}={4703.3}{N}\)

d) Buoyant force \(\displaystyle={V}\rho{g}\)

\(\displaystyle\Rightarrow{F}_{{B}}={\left({0.599}^{{3}}\right)}{\left({1.05}\cdot{10}^{{3}}\right)}{\left({9.81}\right)}={2213.80}\ {N}\)

Pressure due to water \(\displaystyle=\rho{g}{h}={\left({1.05}\cdot{10}^{{3}}\right)}{\left({9.81}\right)}{\left({\frac{{{0.599}}}{{{2}}}}\right)}={3085}\frac{{m}}{{m}^{{2}}}\)

Net pressure \(\displaystyle={101325}+{3085}={104410}\ \frac{{N}}{{m}^{{2}}}\)

Cross sectional area of the cube \(\displaystyle={L}^{{2}}={0.36}{m}^{{2}}\)

Net force \(\displaystyle={P}\cdot{A}={37587.6}{N}\)

b) \(\displaystyle{P}_{{{a}{t}{m}}}={1}\ {a}{t}{m}={101325}\frac{{N}}{{m}^{{2}}}\)

Pressure due to water \(\displaystyle=\rho{g}{h}={\left({1.05}\cdot{10}^{{3}}\right)}{\left({9.81}\right)}{\left({3}\cdot{\frac{{{0.599}}}{{{2}}}}\right)}={9255}\ \frac{{N}}{{m}^{{2}}}\)

Net pressure =101325+9255=110580 \(\displaystyle\frac{{N}}{{m}^{{2}}}\)

Cross sectional area of the cube \(\displaystyle={L}^{{2}}={0.36}{m}^{{2}}\)

Net force \(\displaystyle={P}\cdot{A}={39808.8}{N}\)

c) Weight of the cube \(\displaystyle={m}{g}={970}{c}{d}{\quad\text{or}\quad}{9.81}={9515.7}\ {N}\)

\(\displaystyle{T}={37587.6}+{9515.7}={4703.3}{N}\)

d) Buoyant force \(\displaystyle={V}\rho{g}\)

\(\displaystyle\Rightarrow{F}_{{B}}={\left({0.599}^{{3}}\right)}{\left({1.05}\cdot{10}^{{3}}\right)}{\left({9.81}\right)}={2213.80}\ {N}\)