Is surface area always larger than volume?

The increase in volume is always greater than the increase in surface area. For cubes smaller than this, surface area is greater relative to volume than it is in larger cubes (where volume is greater relative to surface area).

Can the surface area and the volume be the same?

Surface area is a two-dimensional measure, while volume is a three-dimensional measure. Two figures can have the same volume but different surface areas. For example: A rectangular prism with side lengths of 1 cm, 1 cm, and 4 cm has the same volume but a surface area of 18 sq cm.

How does surface area change with volume?

Graphs of surface area, A against volume, V of the Platonic solids and a sphere, showing that the surface area decreases for rounder shapes, and the surface-area-to-volume ratio decreases with increasing volume.

Are volume and surface area directly proportional?

As a result, the surface area to volume ratio is inversely proportional to the size of an object, given that length and radius determine the size.

Can volume be less than surface area?

The surface area can never be greater than the volume of any shape. Neither can the volume ever be greater than the surface area.

When surface area increases does volume decrease?

the surface area increases but not in the same ratio as the volume, so the surface area to volume decreases.

What shape has smallest surface area?

sphere
Of all the shapes, a sphere has the smallest surface area for a given volume.

Is the surface area greater or less than the volume?

The surface area is greater than the volume, and less than the volume, just depending on what Consider a cube, one centimeter on a side. The surface area is 6 square centimeters, and the volume is one cubic centimeter. Evidently, the surface area is greater than the volume. Now consider a cube ten millimeters on a side.

What is the volume of a polygon?

A polygon has no volume, since volume is measured only in 3 dimensional shapes, and requires the existence of depth, which is nonexistent in 2 dimensional shapes. Therefore, I cannot answer this question. I substitute polyhedron for polygon in your question. Consider a distance d in the polyhedron, say between two vertices.

Is the surface area of a polyhedron equal to its volume?

Assuming that you are referring to the surface area and volume of a polyhedron: Consider a cube, one centimeter on a side. The surface area is 6 square centimeters, and the volume is one cubic centimeter. Evidently, the surface area is greater than the volume.

Are the surface area and volume of two cubes the same?

These two cubes we considered are exactly the same. The surface area is greater than the volume, and less than the volume, just depending on what Consider a cube, one centimeter on a side. The surface area is 6 square centimeters, and the volume is one cubic centimeter. Evidently, the surface area is greater than the volume.