Question

Средняя калорийность листьев - 100 ккал на 100 г. Сцинк питается листьями и муравьями в соотношении 1:1. Килограмм лиственной биомассы вырастает на площади 0,5 м2. Если принять, что муравьи питаются исключительно листвой, какая площадь необходима на прокорм сцинка на 1 день, если в день ему требуется 300 ккал? Ответ укажите в метрах квадратных с точностью до сотых через точку.

Answer 1

Чисто с математической стороны:

0,5м2=1000г=1000ккал

1000г-100%

300г-х%

$x=\frac{300*100}{1000}=30%$  

0,5м2-100%

х м2-30%

[tex]x=\frac{30*0,5}{100} =0,15 м2

Answer 2

Calculation of the Required Area for Feeding the Skink

To calculate the required area for feeding the skink, we need to consider the average calorie content of the leaves, the skink's diet ratio, and the amount of biomass that grows on a given area.

Given information: - Average calorie content of leaves: 100 kcal per 100 g - Skink's diet ratio: leaves to ants = 1:1 - Biomass growth: 1 kg of leaf biomass grows on an area of 0.5 m²

To determine the required area for feeding the skink, we can follow these steps:

1. Calculate the total calorie requirement for the skink per day: - The skink requires 300 kcal per day.

2. Determine the amount of leaf biomass required to meet the skink's calorie requirement: - Since the skink's diet ratio is 1:1 for leaves and ants, it requires 150 kcal from leaves per day (half of the total calorie requirement).

3. Convert the calorie requirement from leaves to grams: - Since the average calorie content of leaves is 100 kcal per 100 g, the skink requires 150 g of leaves per day.

4. Convert the leaf biomass requirement to the area needed for growth: - Given that 1 kg of leaf biomass grows on an area of 0.5 m², we can calculate the required area using the following formula: Required area = (leaf biomass requirement / 1000 g) * (1 / 0.5 m²)

Let's calculate the required area for feeding the skink:

1. Total calorie requirement: 300 kcal per day. 2. Leaf biomass requirement: 150 g per day. 3. Required area: (150 g / 1000 g) * (1 / 0.5 m²) = 0.3 m².

Therefore, the skink requires approximately 0.3 square meters of area to meet its daily calorie requirement of 300 kcal, assuming it feeds exclusively on leaves.