Calculate the surface area and volume of 3D shapes including cubes, spheres, cylinders, cones, pyramids, and prisms.
Surface Area
94.0000
Square units
Formula
SA = 2(lw + lh + wh)
Total Surface Area
94.0000
square units
Volume
60.0000
cubic units
Cube
SA = 6s²
V = s³
Rectangular Prism
SA = 2(lw + lh + wh)
V = lwh
Sphere
SA = 4πr²
V = (4/3)πr³
Cylinder
SA = 2πr² + 2πrh
V = πr²h
Cone
SA = πr² + πrl
V = (1/3)πr²h
Square Pyramid
SA = b² + 2bl
V = (1/3)b²h
Where: s = side, l = length, w = width, h = height, r = radius, b = base, l (in cone/pyramid) = slant height
Calculate how much paint or coating is needed to cover an object. Paint coverage is usually given in m²/liter.
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Surface Area
94.0000
Square units
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Surface area is the total area covering a 3D object. Cube: 6*s^2. Sphere: 4*pi*r^2. Cylinder: 2*pi*r^2 + 2*pi*r*h (two circles + curved surface). Cone: pi*r^2 + pi*r*l (base + lateral). Rectangular prism: 2(lw + lh + wh). Surface area is measured in square units.
Surface area is the total area of all surfaces (faces) of a three-dimensional object. It measures how much material would be needed to cover the outside of a solid shape. Surface area calculations are essential in manufacturing, construction, packaging, heat transfer, and many engineering applications.
Surface area is the total area covering a 3D object. Cube: 6*s^2. Sphere: 4*pi*r^2. Cylinder: 2*pi*r^2 + 2*pi*r*h (two circles + curved surface). Cone: pi*r^2 + pi*r*l (base + lateral). Rectangular prism: 2(lw + lh + wh). Surface area is measured in square units.
Surface area is the total area of all the surfaces (faces) of a 3D object. Imagine wrapping the object in paper - surface area is the amount of paper needed. It's measured in square units (cm², m², ft², etc.).
A cube has 6 identical square faces. Surface area = 6s², where s is the side length. For example, a cube with 3cm sides has surface area = 6 × 3² = 6 × 9 = 54 cm².
Surface area measures the total outer covering of a 3D shape (in square units). Volume measures the space inside the shape (in cubic units). Surface area is like the wrapping paper, volume is like the gift inside.
Lateral surface area is the area of just the sides of a 3D shape, excluding the top and bottom (bases). For a cylinder, it's the curved surface only (2πrh). For a prism, it's all the rectangular faces.
The surface area of a sphere is SA = 4πr², where r is the radius. This equals exactly 4 times the area of a circle with the same radius. For Earth (r ≈ 6,371 km), SA ≈ 510 million km².
Last updated: 2025-01-15
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Surface Area
94.0000
Square units