Your engineering team is responsible for designing and constructing a concrete foundation for a warehouse. The foundation dimensions are $3m4m0\mathrm{.}3m.$ The specified concrete mix ratio is $1$ cement: $1\mathrm{.}6$ sand: $3\mathrm{.}4$ gravel, with a water$-$to$-$cement ratio of $0\mathrm{.}45$ and voids percent is $2\%.$ The construction is planned during a hot season with an average ambient temperature of $34C.$ In similar environmental conditions, the construction team has observed rapid setting of concrete and surface cracks after curing, leading to safety concerns.

Your team must assess the problem and propose a practical solution using engineering and scientific principles, as well as mathematical calculations, to ensure the quality and durability of the foundation.

Identify the potential risks and challenges associated with pouring and curing concrete in high$-$temperature conditions. State the specific engineering problems to address, including workability. hydration, and cracking risks.

Calculate the required volumes of concrete components $($cement$,$ sand, gravel, and water$)$ for the foundation using the mix ratio and the water$-$to$-$cement ratio. Estimate the initial temperature of the fresh concrete mix. Assess if the calculated temperature exceeds safe limits for the concrete mix. The density of materials $($ cement $=1400k\frac{g}{m}3,$ sand $1650k\frac{g}{\frac{?}{?}}m3,$ gravel $=1760k\frac{g}{m}3,$ water $=1000k\frac{g}{\frac{?}{?}}m3)$ and the initial temperature for materials were $($cement $=61,$ water $=32,$ total aggregate $=28)$

Based on the scientific analysis, propose an engineering solution to mitigate the identified risks. This may include revising the mix design $($e$.$g$.,$ using additives, Reducing the temperature of one or more of the materials used$)$ or modifying the construction process. Justify your solution using the same equations from the scientific analysis to demonstrate its effectiveness.