Question

A prism has a base of a regular decagon. The perimeter of the decagon is 40 cm and the height of the prism is 8 cm. What is the surface area of the prism is square cm?

1. Therefore , the volume of the  decagonal prism is 246.21468296 cm^3.

### Volume is what kind of science?

The quantity of space that matter takes up is measured by its volume. A physical substance that takes up space and has mass is referred to as matter. Cubic meters are the accepted unit of volume in physical sciences like chemistry (m3). From this, other units like the litre (L) and milliliter (mL) are generated (mL).
Here,
The base of the perpendicular prism is a square-shaped regular decagon with a side length of 8 cm.
The 10 isosceles triangles that make up the regular decagon with side a = 8 cm in length each have an angle at their bases of 90-36/2 = 72 o and an apex of 360/10 = 36 o. (2/2)tan 72 divided by 3.077683537 is the height of the isosceles triangles.
The surface area of each isosceles triangle is equal to 3.077683537*8/2, or 12.310734148cm2.
The decagon’s surface measures 123.10734148 cm2 or 12.310734148 * 10 cm2.
123.10734148*2 = 246.21468296 cm3 is the decagonal prism’s volume.
The decagonal prism’s volume is 246.21468296 cm3, according to this.
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