Dimensions 6130

The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6600 cm2 of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?

Final Answer:

V =  35 l

Step-by-step explanation:

S=6600 cm2→ dm2=6600:100  dm2=66 dm2 a:b:c = 5:2:4 a=5x b = 2x c = 4x  S = a⋅ b + 2⋅ c ⋅  (a+b) 5x⋅ 2x + 2⋅ 4x⋅ (5x+2x) = S 66x2−66=0 x2 −1 =0 x2 = 1 x=1​=1 dm  a=5⋅ x=5⋅ 1=5 dm b=2⋅ x=2⋅ 1=2 dm c=4⋅ x=4⋅ 1=4 dm  c1​=5 cm→ dm=5:10  dm=0.5 dm  1 liter = 1 dm3 V=a⋅ b⋅ (c−c1​)=5⋅ 2⋅ (4−0.5)=35=35 l   Verifying Solution:  S2​=a⋅ b+2⋅ c⋅ (a+b)=5⋅ 2+2⋅ 4⋅ (5+2)=66 dm2

Try another example


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







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Check out our ratio calculator.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Do you know the volume and unit volume, and want to convert volume units?

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

algebraarithmeticsolid geometryplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: