겉넓이 계산기

정육면체, 직육면체, 원기둥, 원뿔, 구의 겉넓이를 π를 사용해 정확하게, 각 부분을 보여 주며 구합니다.

결과

값을 입력하고 계산을 누르면 결과가 표시됩니다.

공식

Acuboid=2(lw+lh+wh)A_{\text{cuboid}} = 2(lw + lh + wh)

Six rectangular faces, in three matching pairs.

Acylinder=2πr2+2πrhA_{\text{cylinder}} = 2\pi r^2 + 2\pi r h

Two circular ends plus the curved side.

Acone=πr2+πrl,l=r2+h2A_{\text{cone}} = \pi r^2 + \pi r l,\quad l = \sqrt{r^2 + h^2}

The base plus the curved surface, using the slant height l.

Asphere=4πr2A_{\text{sphere}} = 4\pi r^2

Four times the area of a circle with the same radius.

이 계산기 사용법

  1. Choose the shape and enter its measurements in the same unit.
  2. Press Calculate. Areas come out in that unit squared.

풀이 예제

A cylinder with radius 3 and height 5

The two circular ends: 2π × 3² = 18π.

The curved side: 2π × 3 × 5 = 30π.

Total surface area = 18π + 30π = 48π ≈ 150.796447.

자주 묻는 질문

What is the difference between surface area and volume?

Surface area is the area of the outside (how much paint covers it); volume is the space inside (how much it holds).

What is the slant height of a cone?

The distance from the tip down the side to the edge of the base: l = √(r² + h²).

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