Square Pyramid Surface Area Calculator Quiz

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5 Questions

What is the formula for the lateral surface area of a cylinder in terms of its radius ($r$) and height ($h$)?

The formula for the lateral surface area of a cylinder is $2 \pi r h$.

What is the formula for the total surface area of a square pyramid in terms of its slant height ($s$) and base side length ($a$)?

The formula for the total surface area of a square pyramid is $a^2 + 2as$.

What is the formula for the volume of a square pyramid in terms of its base side length ($a$) and height ($h$)?

The formula for the volume of a square pyramid is $V = \frac{1},{3} a^2 h$.

What is the formula for the lateral edge length of a square pyramid in terms of its slant height ($s$) and base side length ($a$)?

The formula for the lateral edge length of a square pyramid is $\sqrt{s^2 - \frac{1},{2}a^2}$.

What is the formula for the lateral surface area of a square pyramid in terms of its base side length ($a$) and slant height ($s$)?

The formula for the lateral surface area of a square pyramid is $Slat = \frac{1},{2} a s$.

Study Notes

Cylinder Formulas

  • Lateral surface area of a cylinder: $2πr*h$

Square Pyramid Formulas

  • Total surface area: $a^2 + 2a*s$
  • Volume: $(a^2*h)/3$
  • Lateral edge length: $\sqrt{s^2 + (a/2)^2}$
  • Lateral surface area: $a*s$

Calculate the surface area of a square pyramid using this online calculator. Input the height, slant height, side length, and lateral edge length to compute the total, lateral, and bottom surface areas. This tool is useful for geometry students and professionals working with pyramid shapes.

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