formulas

Question 1

1. Area Calculations:

Answer 1

Rectangle Area:
Area = Length × Width
Area=Length×Width
Example: To calculate the area of a wall for painting.

Question 2

Triangle Area:

Answer 2

Area= half ×Base×Height
Example: For triangular sections of a roof or floor.

Question 3

Circle Area:

Answer 3

Area=πr squared
(Radius)

Example: For circular components or structures.

Question 4

2. Volume Calculations:

Answer 4

Rectangular Prism Volume (e.g., concrete slab):
Volume = Length × Width × Height(orDepth)

Question 5

Cylinder Volume (e.g., pipes):

Answer 5

V=πr2h

Question 6

3. Perimeter Calculations:
   Perimeter of a Rectangle:

Answer 6

Perimeter=2×(Length+Width)
Example: To calculate the amount of fencing needed for a boundary.

Question 7

Circumference of a Circle:

Answer 7

Circumference=2×π×Radius

Question 8

4. Pythagorean Theorem (for right-angled triangles):
   Finding a missing side:

Answer 8

a squared + b squared = c squared

Question 9

5. Conversion Formulas:

Answer 9

10 (mm) = 1 (cm)
10 (cm) = 1 (dm) = 100 mm
100 (cm) = 1 (m) = 1,000 mm
1000 (m) = 1 (km)
Convert mm to m: 1 m = 1000 mm 1m=1000mm
Convert m² to cm²: 1 m 2 = 10 , 000 cm 2 1m 2 =10,000cm 2

Question 10

6. Costing:

Answer 10

Cost of Materials:
TotalCost
=
Quantity
×
CostperUnit
TotalCost=Quantity×CostperUnit
Example: To calculate the total cost of materials like tiles or timber.

Question 11

7. Ratios for Mixing (e.g., Concrete):

Answer 11

Concrete Mix Ratio: Commonly, a concrete mix is denoted as a ratio of cement, sand, and gravel (e.g., 1:2:4 means 1 part cement, 2 parts sand, 4 parts gravel). These formulas are fundamental for tasks like calculating areas for tiling or painting, estimating material volumes, or determining the amount of concrete required. Make sure to practice applying them to different construction scenarios.