Questions: Calculate the surface area of the given square pyramid. 56 sq cm 46 sq cm 52 sq cm 48 sq cm

Transcript text: Calculate the surface area of the given square pyramid. 56 sq cm 46 sq cm 52 sq cm 48 sq cm

Solution

Solution Steps

Step 1: Calculate the area of the square base

The base is a square with side length 4 cm. Area = 4 cm * 4 cm = 16 sq cm.

Step 2: Calculate the area of one triangular face

Each triangular face has a base of 4 cm and a height of 5 cm. Area of one triangle = (1/2) * base * height = (1/2) * 4 cm * 5 cm = 10 sq cm.

Step 3: Calculate the total surface area

There are four triangular faces and one square base. Total surface area = (4 * area of one triangle) + area of square base = (4 * 10 sq cm) + 16 sq cm = 40 sq cm + 16 sq cm = 56 sq cm.

Final Answer

56 sq cm

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