Mrs.D Math · 8th Grade

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WIZARD

Surface Area of Prisms · Geometry
📐 Surface Area
📦 Prisms
✨ S = 2B + Ph
📦 All 6 Faces
⛺ Triangle Bases
🎨 Lateral = Ph
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📚 Surface Area of Prisms

The Big Formula: S = 2B + Ph

B = area of one base · P = perimeter of the base · h = height (length) of the prism. The 2B covers both bases, and Ph wraps around all the side faces.

📦
Rectangular prism — the bases are the top and bottom. You can also add all 6 faces:
S = 2lw + 2lh + 2wh
10 × 6 × 5 box: S = 2(10·6) + 32(5) = 120 + 160 = 280 in²
⛺
Triangular prism — the bases are the two triangles: B = ½bh.
B = ½(8)(3) = 12, P = 5+5+8 = 18, length 10
S = 2(12) + 18(10) = 24 + 180 = 204 in²
🎨
Lateral surface area = just the sides, NOT the bases:
S = Ph

How to Play

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10 questions, 3 lives. Some questions are multiple choice, some you type the answer.
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The Calculator lives in the bottom-left corner — try it in your head first, then verify!
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Watch for TOTAL vs LATERAL — lateral means sides only (S = Ph).
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