Jednostki pola - Zadania sprawdzające

MathematicsUnits of Area and Area CalculationEasy

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Zadanie 1.

Kwadrat [ ] ma bok o długości $0,5\text{ cm}$.

Pole narysowanej figury wynosi [...]

$1\text{ cm}^2$ to [...] [ ]

Pole narysowanej figury wynosi [...] $\text{ cm}^2$.

Zadanie 2.

Wpisz odpowiednie liczby:

$8\text{ cm}^2 = \dots\dots\dots \text{ mm}^2$

$30\text{ dm}^2 = \dots\dots\dots \text{ m}^2$

Zadanie 3.

Pole kwadratu, którego bok ma długość $5\text{ cm}$, wynosi:

A. $2500\text{ mm}$

B. $25\text{ mm}^2$

C. $2500\text{ mm}^2$

D. $200\text{ mm}^2$

Zadanie 4.

Pole prostokąta o wymiarach $25\text{ mm} \times 4\text{ cm}$ wynosi:

A. $100\text{ mm}^2$

B. $1000\text{ mm}^2$

C. $100\text{ cm}^2$

D. $1000\text{ cm}^2$

Zadanie 5.

Uzupełnij:

$530\text{ m}^2 = \dots\dots\dots \text{ a}$

$410\text{ a} = \dots\dots\dots \text{ ha}$

$350\,000\text{ m}^2 = \dots\dots\dots \text{ ha}$

$6\text{ ha} = \dots\dots\dots \text{ a} = \dots\dots\dots \text{ m}^2$

This question includes visual content: Obok zadania 1 znajduje się rysunek złożony z 10 małych kwadracików ułożonych w nieregularny kształt (krzyż/plus z dodatkowymi polami). W centralnej części kształtu jeden kwadracik jest biały, pozostałe są zacienione. Obok zadania 3 narysowany jest odręcznie mały kwadrat z opisanymi bokami o długości 5.

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Step by Step Written Solution

1
Step 1

Let's solve the mathematical tasks from your worksheet one by one. We will start with Zadanie 1.

Zadanie 1

2
Step 2

We are given a small square with a side length of zero point five centimeters. First, let's calculate the area of this one small square.

$$P_{\square} = a^2 = (0.5\text{ cm})^2$$
$$P_{\square} = 0.25\text{ cm}^2$$
3
Step 3

The figure consists of sixteen such small squares. To find the total area, we multiply the area of one square by sixteen.

$$P_{\text{figury}} = 16 \cdot 0.25\text{ cm}^2 = 4\text{ cm}^2$$
4
Step 4

Now, for Zadanie 2, we need to convert units. Remember that one centimeter equals ten millimeters, so one square centimeter equals one hundred square millimeters.

Zadanie 2

$$1\text{ cm}^2 = 100\text{ mm}^2$$
$$8\text{ cm}^2 = 8 \cdot 100\text{ mm}^2 = 800\text{ mm}^2$$
5
Step 5

Next, converting from square decimeters to square meters. Since ten decimeters make one meter, one hundred square decimeters make one square meter.

$$100\text{ dm}^2 = 1\text{ m}^2$$
$$30\text{ dm}^2 = 30 : 100\text{ m}^2 = 0.3\text{ m}^2$$

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About This Question

Subject
Mathematics
Topic
Units of Area and Area Calculation
Difficulty
Easy

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