Solving Exercise 1 on page 31 of Math 5

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Ngày cập nhật gần nhất: 15/4/2026

Decode Exercise 1 on page 31 of Math 5 in the Comprehensive Practice, how many tiles are needed to fully cover the floor of that room

Step-by-step solution for Exercise 1 on page 31 of Math 5

Problem statement:
To tile the floor of a rectangular room, square ceramic tiles with a side length of 330cm are used. Calculate the number of tiles needed to cover the floor of the room, knowing that the room is 6m wide and 9m long? (Disregard the area of the mortar joints).

Solution Method:

- Step 1: Calculate the floor area of the room using the formula for the area of a rectangle, then convert the unit to dm²

- Step 2: Determine the area of a square tile by applying the formula for the area of a square (side x side)

- Step 3: Calculate the number of tiles needed by dividing the floor area of the rectangular room by the area of a single tile.

Answer:
The floor area of the room is:
9 x 6 = 54 (m²) or 5400 dm²
30cm = 3dm
The area of a single tile is:
3 x 3 = 9 (dm²)
The number of tiles needed is:
5400 : 9 = 600 (tiles)
The answer is: 600 tiles.

Here is the solution for Exercise 1 on page 31 of Math 5 textbook. Additionally, this section includes three more exercises: Solve Exercise 2 on page 31 Math 5, Solve Exercise 3 on page 31 Math 5, and Solve Exercise 4 on page 31 Math 5. Let's explore the solutions for exercises on page 31 Math 5 to excel in 5th-grade Mathematics!

Frequently Asked Questions

How do you calculate the number of tiles needed to cover a room's floor?

To calculate the number of tiles, first find the floor area of the room, then determine the area of a single tile. Divide the floor area by the tile area to get the number of tiles required.

What is the formula to calculate the floor area of a rectangular room?

The formula to calculate the floor area of a rectangular room is length x width. For example, for a room that is 9m long and 6m wide, the floor area is 9 x 6 = 54 m².

How do you convert the floor area from square meters to square decimeters?

To convert the floor area from square meters to square decimeters, multiply the area in square meters by 100, as 1m² equals 100 dm². For instance, 54m² becomes 5400 dm².

What is the area of a single ceramic tile if its side length is 30cm?

The area of a single ceramic tile can be calculated by squaring the side length. For a tile with a side length of 30cm (or 3dm), the area is 3 x 3 = 9 dm².

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