ybghalan
Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

If the length of the square room is 15 ft and the height is 8 ft., find out how
much it will cost to plaster the floor, four walls, and ceiling of the room at the
rate of 120 per square ft.

Sagot :

GinnyAnswer
Let's solve this problem step-by-step.

### Step 1: Floor Area Calculation
The room is square-shaped with a length of 15 feet.

[tex]\[ \text{Area of the floor} = \text{length} \times \text{length} \][/tex]

[tex]\[ \text{Area of the floor} = 15 \, \text{ft} \times 15 \, \text{ft} = 225 \, \text{sq ft} \][/tex]

### Step 2: Ceiling Area Calculation
Since the ceiling is also square-shaped with the same dimensions as the floor:

[tex]\[ \text{Area of the ceiling} = 15 \, \text{ft} \times 15 \, \text{ft} = 225 \, \text{sq ft} \][/tex]

### Step 3: Wall Area Calculation
The room has four walls, and we consider two pairs of opposite walls.

#### Calculation for one pair of opposite walls:
Each wall in this pair has a length of 15 feet and a height of 8 feet.

[tex]\[ \text{Area of one wall} = \text{length} \times \text{height} \][/tex]

[tex]\[ \text{Area of one wall} = 15 \, \text{ft} \times 8 \, \text{ft} = 120 \, \text{sq ft} \][/tex]

Since there are two such walls:

[tex]\[ \text{Total area for this pair} = 2 \times 120 \, \text{sq ft} = 240 \, \text{sq ft} \][/tex]

#### Calculation for the other pair of opposite walls:
Since the room is square, the second pair of opposite walls will have the same dimensions and area as the first pair.

[tex]\[ \text{Total area for this pair} = 2 \times 120 \, \text{sq ft} = 240 \, \text{sq ft} \][/tex]

### Step 4: Total Wall Area Calculation
Now, we add up the areas of the four walls:

[tex]\[ \text{Total wall area} = 240 \, \text{sq ft} + 240 \, \text{sq ft} = 480 \, \text{sq ft} \][/tex]

### Step 5: Total Area to be Plastered
We now sum the areas of the floor, ceiling, and all four walls:

[tex]\[ \text{Total area} = \text{Area of the floor} + \text{Area of the ceiling} + \text{Total wall area} \][/tex]

[tex]\[ \text{Total area} = 225 \, \text{sq ft} + 225 \, \text{sq ft} + 480 \, \text{sq ft} = 930 \, \text{sq ft} \][/tex]

### Step 6: Cost Calculation
The rate of plastering is 120 per square foot.

[tex]\[ \text{Total cost} = \text{Total area} \times \text{cost per sq ft} \][/tex]

[tex]\[ \text{Total cost} = 930 \, \text{sq ft} \times 120 \, \text{per sq ft} = 111600 \][/tex]

### Final Answer:
The total cost to plaster the floor, four walls, and ceiling of the room is 111,600.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.