Question
Download Solution PDFThe base of a right prism is a square having side of 15 cm. If its height is 8 cm, then the total surface area.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFShortcut TrickIn general a prism having a square or rectangular base is called a cuboid.
Now, we have a cuboid of l = 15, b = 15, h = 8
Total surface area = 2 (lb + bh + hl)
⇒ Total surface area = 2 (15 × 15 + 15 × 8 + 8 × 15)
⇒ Total surface area = 2 (465) = 930
∴ The total surface area is 930 cm2
Alternate Method
Given:
The base of a right prism is a square having side of 15 cm.
Height of the prism = 8 cm
Formula used:
Total surface area of a prism = (2 × Area of a base) + (Perimeter of a base × Height of a prism)
Calculations:
Area of a base of the prism = (side)2
⇒ (15)2
⇒ 225 cm2
Perimeter of a base of the prism = 4 × (side)
⇒ 4 × (15)
⇒ 60 cm
Now,
Total surface area of a prism = (2 × Area of a base) + (Perimeter of a base × Height of a prism)
⇒ ( 2 × 225) + (60 × 8)
⇒ 450 + 480
⇒ 930 cm2
∴ The total surface area of the prism is 930 cm2.
Last updated on Jul 7, 2025
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