[tex]B=100cm^2\text{ h=10 cm}[/tex]
Explanation
to figure out this, we need to check every option
[tex]\begin{gathered} V=\frac{1}{3}Bh \\ \end{gathered}[/tex]
Step 1
[tex]\begin{gathered} B=50 \\ h=10 \end{gathered}[/tex]
replace.
[tex]\begin{gathered} V=\frac{1}{3}Bh \\ V=\frac{1}{3}\cdot50\cdot10 \\ V=166.66 \end{gathered}[/tex]
Step 2
[tex]\begin{gathered} B=50 \\ h=30 \end{gathered}[/tex]
replace
[tex]\begin{gathered} V=\frac{1}{3}Bh \\ V=\frac{1}{3}\cdot50\cdot30 \\ V=500 \end{gathered}[/tex]
Step 3
[tex]\begin{gathered} B=100 \\ h=10 \end{gathered}[/tex]
replace
[tex]\begin{gathered} V=\frac{1}{3}Bh \\ V=\frac{1}{3}\cdot100\cdot10 \\ V=\frac{1000}{3}=\frac{999}{3}+\frac{1}{3}=333\text{ }\frac{1}{3} \\ V=333\text{ }\frac{1}{3} \end{gathered}[/tex]
so, the answer is
[tex]B=100cm^2\text{ h=10 cm}[/tex]
I hope this helps you
