Question 62
The base regular four-sided prism is a rhomb with area of $\frac{2}{3}k^2$, $k\gt 0$. The smaller diagonal plane intersection is a square with area of $k^2$.
a) Express the area and volume of the prism using only $k$.
b) For which value of $k$ the area and the volume have equal measure numbers?
a) Express the area and volume of the prism using only $k$.
b) For which value of $k$ the area and the volume have equal measure numbers?