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?
Question
Answer:
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%
solved
general
10 months ago
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