The length of side can be calculated as
<span>s = √40
= √4x10
= 2√10</span>
The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
<h3>How to determine the volume </h3>
Using the formula:
Volume = 3abh
Where a = apothem length
b = length of the side of the base
h =height of the prism
Substitute values from the diagram into the formula
Volume = 3 × 5 × 4.3 × 2
Volume = 129 in^3
Volume of the remaining cake
Volume = 3abh
Volume = 3× 5.2 × 4 × 6
Volume = 374. 4 in^3
Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
Learn about volume of a hexagonal prism here:
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Answer:
Cooking will be shortest when the househusband covers the beef stew with the heavy lid.
Step-by-step explanation:
The explanation for this is that water boils at 100°C at normal atmospheric pressure & it remains at that temperature until all the water evaporates as steam; the temperature can then go higher in steam form.
So, if he leaves the pan uncovered the pressure above the beef stew will be the atmospheric pressure and the temperature of the stew will not pass the 100°C mark and the food cooks at 100°C.
If he places a light lid on top, the pressure will build up & the temperature at which water remains liquid is a bit higher, but eventually the steam will push the lid to escape thereby releasing pressure & reducing the temperature.
If he puts a heavy lid on the pan the pressure can build up the highest and the temperature of the water in the stew will stay the highest ensuring the fastest cooking.
Basically, the heavier the lid, greater the pressure in the pan. As the pressure gets greater, the saturation temperature at which water starts boiling will be higher. And higher boiling temperatures mean shorter cooking times.
