Calculate 32513

Block area: S = 376 cm2
the sides are in the ratio a: b: c = 3:4:5
calculate its volume

Correct answer:

V =  480 cm3

Step-by-step explanation:

a = 3 x b = 4 x c = 5 x S=376 cm2  S = 2(ab+bc+ac) = 2(3 ⋅  4 x2 + 4 ⋅  5 x2 + 3 ⋅  5 x2)  x=S/2/(3⋅ 4+5⋅ 4+3⋅ 5)​=376/2/(3⋅ 4+5⋅ 4+3⋅ 5)​=2 cm  a=3⋅ x=3⋅ 2=6 cm b=4⋅ x=4⋅ 2=8 cm c=5⋅ x=5⋅ 2=10 cm  V=a⋅ b⋅ c=6⋅ 8⋅ 10=480=480 cm3   Verifying Solution:   S1​=2⋅ (a⋅ b+b⋅ c+c⋅ a)=2⋅ (6⋅ 8+8⋅ 10+10⋅ 6)=376 cm2

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Tip: Our volume units converter will help you convert volume units.

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

algebraarithmeticsolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: