Calculate prism surface area/volume?
Hello. I'm getting desperate with math. We're supposed to calculate the volume and surface area of a prism with a height (h=52cm) and various base areas. I don't understand it at all and would appreciate it if someone could explain the differences in the calculation steps and, if possible, the problem.
The different tasks are:
a) right-angled triangle with a=12cm, b=16cm, c=20cm
b) equilateral free angle with a = b = c = 5cm, h subscript a = 4.3cm
c) Rhombus with a = 4.5cm, h subscript a = 3cm
d) isosceles trapezoid with a || c, a = 6cm, h subscript a = 2cm, c = 3cm, b = 2.5cm
Thanks in advance for any help!! 🙈
For the surface area: twice the base area plus the lateral area. You've already calculated the base area for the volume. Of course, you can combine the lateral area from three or four individual rectangles, or, more simply, multiply the perimeter of the base area by the height.
Take a look at the following PDF.
http://texxtorr.bplaced.net/gf/Berechnungen/Aufgabe/Diverses/20241130-221930-Prisma-OberflaecheVolumen.pdf
Base area times height.
You can calculate the floor area using the information provided.
You have different shapes of prisms here. All are 52 cm high. The other dimensions are at the bottom.
https://de.wikipedia.org/wiki/Prisma_(Geometry)