📐

Solid Figures

★★☆☆☆Middle School

📖Definition

Three-dimensional shapes with volume and surface area.

📐Formulas

Cube: V = s³, S = 6s²

Cube with side s

Rectangular prism: V = lwh, S = 2(lw + wh + lh)

With length l, width w, height h

Sphere: V = (4)/(3)π r³, S = 4π r²

Sphere with radius r

Cylinder: V = π r² h, S = 2π r(r + h)

Cylinder with radius r, height h

Cone: V = (1)/(3)π r² h

Cone with radius r, height h

✏️Examples

예제 1☆☆☆☆

Find the volume and surface area of a cube with side 4cm.

예제 2★★☆☆☆

Find the volume of a sphere with radius 3cm.

Applications

Architecture

Building space calculation

Manufacturing

Container capacity design

🔗Related Documents

Related

Applications

#geometry#solid#3D#volume