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Question
The surface area of the given pentagonal pyramid is
The surface area of the given pentagonal pyramid is
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Solution
The correct option is B 1237.5 sq in
The given pyramid contains one pentagonal base and 5 triangular faces.
Total surface area = base area + area of 5 triangular faces.
Area of triangle = 12 × base × height
Base of the triangle = 11 in
Height of the triangle = 30 in
Area of a triangular face = 12 ×11 × 30 = 165 sq in
Total area of 5 triangular faces = 5 × 165 = 825 sq in
Base area = 412.5 sq in
Total surface area of the pentagonal pyramid = Base area + area of 5 triangular faces
= 412.5 + 825 = 1237.5 sq in
Hence, the total surface area of square pyramid = 1237.5 sq cm
The given pyramid contains one pentagonal base and 5 triangular faces.
Total surface area = base area + area of 5 triangular faces.
Area of triangle = 12 × base × height
Base of the triangle = 11 in
Height of the triangle = 30 in
Area of a triangular face = 12 ×11 × 30 = 165 sq in
Total area of 5 triangular faces = 5 × 165 = 825 sq in
Base area = 412.5 sq in
Total surface area of the pentagonal pyramid = Base area + area of 5 triangular faces
= 412.5 + 825 = 1237.5 sq in
Hence, the total surface area of square pyramid = 1237.5 sq cm
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