Body diagonal

The cuboid has a volume of 32 cm3. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?

Final Answer:

u =  6 cm

Step-by-step explanation:

V=32 cm2 V = a2 c S1 = 2 S2 (4 a c) = 2 a2 2   a c = a2 2c = a  2c=a  4c2 c = 32  c3 = 8 c=38=2 a=2 c=2 2=4 u=a2+a2+c2=42+42+22=6=6 cm   Verifying Solution:   c=a/2=4/2=2 cm V2=a2 c=42 2=32 cm3 S1=4 a c=4 4 2=32 cm2 S2=a2=42=16 cm2



Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
The Pythagorean theorem is the base for the right triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: