examday

/TMUA

The cross section of a triangular prism is an isosceles triangle with the 2 longer sides having length $2x\,\text{cm}$ and shorter side with length $x\,\text{cm}$. The length of the prism $d\,\text{cm}$. Let the total volume of the prism be $\dfrac12T\,\text{cm}^3$, and the total prism surface area be $T\,\text{cm}^2$, which one of the following is an expression for $d$ in terms of $x$?