Question

Arusha draws a rectangular prism that is made up of two connected cubes, with edge length of e. The surface area of the rectangular prism is represented by the formula surface area = 10e2，and the volume of the prism is represented by the formula volume= 2e3.
A）what is the surface area of the prism if the edge length of each connected cube is 5 centimeters?
B) Arusha plans to build the prism and partially fill it with 150 cubic centimeters of sand. What fraction of the prism volume will be filled by the sand?

Answer 1

To solve this problem you must apply the proccedure shown below:

 A) What is the surface area of the prism if the edge length of each connected cube is 5 centimeters?

 - You must to substute e=5 cm into the formula given in the problem:
 A=10e^2
 A=10(5)^2
 A=250 cm^2

 B) Arusha plans to build the prism and partially fill it with 150 cubic centimeters of sand. What fraction of the prism volume will be filled by the sand?

- First, you need to calculate the volume:

 V=2e^3
 V=2(5)^3
 V=250 cm^3

 250 cm^3----100
 150 cm^3----x

 x=150x100/250
 x=60%