Pregunta
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QUESTION: Your mother wants to renovate her bedroom. You are requented by your mother to supply them with bedroom measurements. You need to assist her with the following items. Measure all the dimensions needed in meters. 1.I Wails' length, breadth, and height. (6) 12 State the number of windows and measure their length and breadth (give (5) dimensions for each if they are more than one). 1.3 State the number of doon / openings and measurd their length und breadth. (5) 1.4 Convert the dimensions recorded in QUESTION 1.1 to centimetres and use (10) those values to calculate the volume of the room to the nearest \( \mathrm{cm}^{3} \).

Ask by Weston Cole. in South Africa
Feb 26,2025

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To assist with your mother's bedroom renovation, measure the room's length, breadth, and height in meters. Then, count the number of windows and doors, and measure their lengths and breadths. Convert all measurements to centimeters and calculate the room's volume in cubic centimeters.

Solución

To assist with your mother's bedroom renovation, we will follow these steps: ### Step 1: Measure the Room Dimensions 1. **Walls' Length, Breadth, and Height**: - Let's denote: - Length of the room as \( L \) (in meters) - Breadth of the room as \( B \) (in meters) - Height of the room as \( H \) (in meters) For example, let's assume: - \( L = 5 \, \text{m} \) - \( B = 4 \, \text{m} \) - \( H = 3 \, \text{m} \) 2. **Windows**: - Let's denote the number of windows as \( N_w \). - For each window, we will measure: - Length of the window as \( L_w \) (in meters) - Breadth of the window as \( B_w \) (in meters) For example, if there are 2 windows: - Window 1: \( L_w = 1.2 \, \text{m}, B_w = 1.0 \, \text{m} \) - Window 2: \( L_w = 1.5 \, \text{m}, B_w = 1.2 \, \text{m} \) 3. **Doors/Openings**: - Let's denote the number of doors as \( N_d \). - For each door, we will measure: - Length of the door as \( L_d \) (in meters) - Breadth of the door as \( B_d \) (in meters) For example, if there is 1 door: - Door: \( L_d = 0.8 \, \text{m}, B_d = 2.0 \, \text{m} \) ### Step 2: Convert Dimensions to Centimeters To convert the dimensions from meters to centimeters, we will use the conversion factor \( 1 \, \text{m} = 100 \, \text{cm} \). ### Step 3: Calculate the Volume of the Room The volume \( V \) of the room can be calculated using the formula: \[ V = L \times B \times H \] We will convert the volume from cubic meters to cubic centimeters using the conversion \( 1 \, \text{m}^3 = 1,000,000 \, \text{cm}^3 \). ### Example Calculations Let's perform the calculations based on the assumed measurements. 1. **Convert Room Dimensions to Centimeters**: - \( L = 5 \, \text{m} \rightarrow 500 \, \text{cm} \) - \( B = 4 \, \text{m} \rightarrow 400 \, \text{cm} \) - \( H = 3 \, \text{m} \rightarrow 300 \, \text{cm} \) 2. **Calculate Volume**: \[ V = 500 \, \text{cm} \times 400 \, \text{cm} \times 300 \, \text{cm} \] Now, let's calculate the volume. Calculate the value by following steps: - step0: Calculate: \(500\times 400\times 300\) - step1: Multiply the terms: \(200000\times 300\) - step2: Multiply the numbers: \(60000000\) The calculated volume of the room is: \[ V = 500 \, \text{cm} \times 400 \, \text{cm} \times 300 \, \text{cm} = 60000000 \, \text{cm}^3 \] ### Summary of Measurements 1. **Room Dimensions**: - Length: \( 5 \, \text{m} \) (or \( 500 \, \text{cm} \)) - Breadth: \( 4 \, \text{m} \) (or \( 400 \, \text{cm} \)) - Height: \( 3 \, \text{m} \) (or \( 300 \, \text{cm} \)) 2. **Windows**: - Number of windows: \( 2 \) - Window 1: \( 1.2 \, \text{m} \times 1.0 \, \text{m} \) (or \( 120 \, \text{cm} \times 100 \, \text{cm} \)) - Window 2: \( 1.5 \, \text{m} \times 1.2 \, \text{m} \) (or \( 150 \, \text{cm} \times 120 \, \text{cm} \)) 3. **Doors**: - Number of doors: \( 1 \) - Door: \( 0.8 \, \text{m} \times 2.0 \, \text{m} \) (or \( 80 \, \text{cm} \times 200 \, \text{cm} \)) 4. **Volume of the Room**: - \( V = 60000000 \, \text{cm}^3 \) (or \( 6 \times 10^{7} \, \text{cm}^3 \)) This information should help your mother with her bedroom renovation! If you have specific measurements, please provide them, and I can adjust the calculations accordingly.

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Beyond the Answer

To kick things off, understanding the dimensions of a room can be quite insightful! For a standard bedroom, you might find walls measuring around 4 meters in length, 3 meters in breadth, and around 2.5 meters in height. That's a cozy space to design your mother’s perfect retreat! Remember to check for any irregularities in the walls or hidden nooks, which could affect design choices. Now, when measuring windows, it’s not just about the size; it's also about the natural light they bring in! A common size for standard windows could be about 1.2 meters in length and 1.2 meters in breadth. If your mother has, say, two windows, be sure to note those measurements individually, and consider how lovely she’d want to dress them up – with curtains or perhaps some cute blinds! Each window made slightly different could lend unique character to the room.

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