All questions of Chapter 14 - How Big How Heavy for Class 5 Exam

If one cube is 6 ut and this is four cubes so it is 24 ut

Cubic meter (m^3) is the standard unit of volume in the International System of Units (SI). It is used to measure the volume of a three-dimensional object or space.

In order to find the number of coins present in the bag, we need to divide the total weight of the bag by the weight of one coin.

Given:
Weight of one 5 rupee coin = 9 g
Weight of the bag = 9 kg

Converting the weight of the bag to grams:
1 kg = 1000 g
9 kg = 9 * 1000 g = 9000 g

Now, we can calculate the number of coins in the bag by dividing the weight of the bag by the weight of one coin:

Number of coins = Weight of the bag / Weight of one coin

Number of coins = 9000 g / 9 g

Number of coins = 1000

Therefore, there are 1000 coins present in the bag.

Volume of a cube= Side×side×side =1×1×1=1 But it is multiplied three times = it is 1 cubic cm

Understanding the Volume of a Cuboid
To find the volume of a cuboid, we use the formula:
Volume = Length × Breadth × Height
In this case, we have:
- Length = 5 cm
- Breadth = 1 cm
- Height = 7 cm
Now, let’s calculate the volume step by step.
Step 1: Substitute the Values
We substitute the values of length, breadth, and height into the formula:
- Volume = 5 cm × 1 cm × 7 cm
Step 2: Perform the Calculation
Now, we can carry out the multiplication:
- First, multiply the length and breadth:
- 5 cm × 1 cm = 5 cm²
- Next, multiply the result by the height:
- 5 cm² × 7 cm = 35 cm³
Thus, the volume of the cuboid is 35 cm³.
Conclusion
The correct answer is option 'B', which is 35 cubic cm.
Key Points to Remember:
- Volume is a measure of the space occupied by a 3D object.
- The formula for the volume of a cuboid is straightforward: Length × Breadth × Height.
- Ensure units are consistent when calculating volume.
This understanding of volume helps in practical applications, such as determining how much liquid a container can hold or the space available in a room.

Understanding the Problem
To find out how many 5 rupee coins are in the bag, we need to know the total weight of the coins and the weight of each coin.
Given Information
- Weight of one 5 rupee coin: 9 grams
- Total weight of the bag: 2 kg 250 g
Convert Total Weight to Grams
- 1 kg = 1000 g, so:
- 2 kg = 2000 g
- 2 kg 250 g = 2000 g + 250 g = 2250 g
Calculate the Number of Coins
- To find the number of coins, divide the total weight of the bag by the weight of one coin:
- Number of coins = Total weight of the bag / Weight of one coin
- Number of coins = 2250 g / 9 g
Perform the Calculation
- Now, let's perform the division:
- 2250 ÷ 9 = 250
Conclusion
The total number of 5 rupee coins in the bag is 250.
Thus, the correct answer is option 'B'.

To solve this problem, we need to determine the number of coins in the sack based on the weight of the coins and the total weight of the sack.

First, let's convert the weight of the sack from kg to grams:
9 kg = 9,000 grams

Now, we can calculate the number of coins in the sack by dividing the total weight of the sack by the weight of one coin:
Number of coins = Total weight of sack / Weight of one coin

Given that one coin weighs 9 grams, we can substitute the values into the equation:
Number of coins = 9,000 grams / 9 grams

Simplifying the equation:
Number of coins = 1,000

So, there are 1,000 coins in the sack.

Therefore, the correct answer is option A) 1000.

Calculation of Volume of the Eraser

First, we need to understand the formula for calculating the volume of a rectangular solid (eraser in this case). The formula is:
Volume = Length x Breadth x Height

Given Dimensions of the Eraser

- Length = 3 cm
- Breadth = 2 cm
- Height = 4 cm

Substitute the Values

Now, substitute the given dimensions of the eraser into the formula:
Volume = 3 cm x 2 cm x 4 cm
Volume = 24 cubic cm

Therefore, the correct answer is option 'B', which is 24 cubic cm.

Explanation:

- Volume of a Cube: The volume of a cube can be calculated by the formula V = a^3, where 'a' is the edge length of the cube.

- Given: The edge length of the cube is 4 cm.

- Calculation:
- V = 4^3
- V = 64 cubic cm

Therefore, the volume of a cube with an edge length of 4 cm is 64 cubic cm, which is option C.

Explanation:
To find the weight of 500 coins, we need to use the concept of multiplication.

Given that the weight of 1 coin = 9g
We need to find the weight of 500 coins.

Formula:
Weight of n coins = n x weight of 1 coin

Calculation:
Weight of 500 coins = 500 x 9g
Weight of 500 coins = 4500g

Therefore, the weight of 500 coins is 4500g.

Final Answer: The correct option is (c) 4500g.