Answer:
Area of Pyramid = 384 cm²
Step-by-step explanation:
Given
Shape: Square Pyramid
Base: 12 cm
Height: 10 cm
Required
The Surface area.
The surface area of the pyramid is calculated by
1. Calculating the area of the base square
2. Calculating the area of the triangles
3. Adding (1) and (2) above
Having highlighted these points,
Step 1: First we calculate the area of the base square
The dimension of the square is 12cm x 12cm
Let L represent the length of the square (L = 12 cm)
So, Area = L * L
Area = 12 cm * 12 cm
Area = 144 cm²
Step 2: There are four triangles in the above pyramid (because the base is a square; and a square has four sides)
The dimension of each triangle is
Base: 12 cm
Height: 10 cm
First, we calculate the area of one triangle
Area = 0.5 * base * height
Area = 0.5 * 12 cm * 10 cm
Area = 60 cm²
If the area of 1 triangle is 60 cm², the area of 4 triangles would be
Area = 4 * 60 cm²
Area = 240 cm²
Step 3: Adding (1) and (2) above
Area of Pyramid = Area of base square + Area of triangles
Area of Pyramid = 144 cm² + 240 cm²
Area of Pyramid = 384 cm²
Hence, the surface area of the pyramid is 384 cm²
