Math worksheet focusing on calculating perimeter, area, and volume with various geometric shapes and real-world scenarios.

Let's solve each problem step by step.

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1. Rectangle: L = 40 cm, breadth = 15 cm

Find the Perimeter

The formula for the perimeter of a rectangle is:

$$
P = 2 \times (L + B)
$$

Where:
- $ L = 40 $ cm
- $ B = 15 $ cm

$$
P = 2 \times (40 + 15) = 2 \times 55 = 110 \text{ cm}
$$

✔ Answer: 110 cm

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2. Square with side 1.7 km

Find the Perimeter

The formula for the perimeter of a square is:

$$
P = 4 \times \text{side}
$$

$$
P = 4 \times 1.7 = 6.8 \text{ km}
$$

✔ Answer: 6.8 km

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3. Rectangular field is 40 km long and 35 km wide. Find the total length of the field.

"Total length of the field" likely refers to the perimeter, since it's asking about the total boundary length.

Use the rectangle perimeter formula:

$$
P = 2 \times (L + B) = 2 \times (40 + 35) = 2 \times 75 = 150 \text{ km}
$$

✔ Answer: 150 km

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4. A room is 60 m long and 25 cm broad. Find the area of the floor.

First, convert units to be consistent. Convert 25 cm to meters:

$$
25 \text{ cm} = 0.25 \text{ m}
$$

Now use the area formula for a rectangle:

$$
A = L \times B = 60 \times 0.25 = 15 \text{ m}^2
$$

✔ Answer: 15 m²

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5. Internal dimensions of a tank are 5 cm, 6 cm, and 7 cm. How much water can it be filled?

This is asking for the volume of the tank (since it's about how much water it can hold).

Use the volume formula for a rectangular prism:

$$
V = L \times B \times H
$$

$$
V = 5 \times 6 \times 7 = 210 \text{ cm}^3
$$

So, it can hold 210 cubic centimeters of water.

Note: 1 cm³ = 1 mL, so this is also 210 mL.

✔ Answer: 210 cm³ (or 210 mL)

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✔ Final Answers:

1. 110 cm
2. 6.8 km
3. 150 km
4. 15 m²
5. 210 cm³

Let me know if you'd like these formatted in a worksheet style!