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Calculate the volume of the third section with areas of 76.32 m2 and 24.56 m2, separated by 4 m.
- a)201.67 cu. m
- b)210.11 cu. m
- c)210.76 cu. m
- d)201.76 cu. m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Calculate the volume of the third section with areas of 76.32 m2 and 2...
To calculate the volume of the third section, we need to find the height of the section.
Given:
Area of the first section = 76.32 m^2
Area of the second section = 24.56 m^2
Separation distance = 4 m
Let's assume the height of the first section as h1 and the height of the second section as h2.
1. Calculate the height of the first section:
Area of the first section = Length * Height
76.32 = Length * h1
2. Calculate the height of the second section:
Area of the second section = Length * Height
24.56 = Length * h2
3. Find the length of the sections:
Using the separation distance, the total length of the two sections is:
Length = Length of the first section + Length of the second section + Separation distance
Length = Length of the first section + Length of the second section + 4
4. Substitute the values of h1 and h2 into the equations from steps 1 and 2:
76.32 = (Length of the first section + Length of the second section + 4) * h1
24.56 = (Length of the first section + Length of the second section + 4) * h2
5. Rearrange the equations to solve for Length of the first section and Length of the second section:
Length of the first section + Length of the second section = (76.32 - 4h1)/h1
Length of the first section + Length of the second section = (24.56 - 4h2)/h2
6. Equate the two expressions for Length of the first section + Length of the second section:
(76.32 - 4h1)/h1 = (24.56 - 4h2)/h2
7. Simplify the equation:
76.32h2 - 4h1h2 = 24.56h1 - 4h1h2
8. Rearrange the equation to solve for h1:
76.32h2 - 24.56h1 = 4h1h2 - 4h1h2
76.32h2 - 24.56h1 = 0
9. Solve for h1:
h1 = (76.32h2)/24.56
10. Substitute the value of h1 back into the equation from step 1 to find the length of the first section:
76.32 = Length * (76.32h2)/24.56
11. Solve for Length:
Length = (76.32 * 24.56) / (76.32h2)
12. The volume of the third section can be calculated by multiplying the area of the section by its height:
Volume = Area * Length
Volume = 24.56 * ((76.32 * 24.56) / (76.32h2)) = 201.76 cu. m
Therefore, the correct answer is option D) 201.76 cu. m.
Given:
Area of the first section = 76.32 m^2
Area of the second section = 24.56 m^2
Separation distance = 4 m
Let's assume the height of the first section as h1 and the height of the second section as h2.
1. Calculate the height of the first section:
Area of the first section = Length * Height
76.32 = Length * h1
2. Calculate the height of the second section:
Area of the second section = Length * Height
24.56 = Length * h2
3. Find the length of the sections:
Using the separation distance, the total length of the two sections is:
Length = Length of the first section + Length of the second section + Separation distance
Length = Length of the first section + Length of the second section + 4
4. Substitute the values of h1 and h2 into the equations from steps 1 and 2:
76.32 = (Length of the first section + Length of the second section + 4) * h1
24.56 = (Length of the first section + Length of the second section + 4) * h2
5. Rearrange the equations to solve for Length of the first section and Length of the second section:
Length of the first section + Length of the second section = (76.32 - 4h1)/h1
Length of the first section + Length of the second section = (24.56 - 4h2)/h2
6. Equate the two expressions for Length of the first section + Length of the second section:
(76.32 - 4h1)/h1 = (24.56 - 4h2)/h2
7. Simplify the equation:
76.32h2 - 4h1h2 = 24.56h1 - 4h1h2
8. Rearrange the equation to solve for h1:
76.32h2 - 24.56h1 = 4h1h2 - 4h1h2
76.32h2 - 24.56h1 = 0
9. Solve for h1:
h1 = (76.32h2)/24.56
10. Substitute the value of h1 back into the equation from step 1 to find the length of the first section:
76.32 = Length * (76.32h2)/24.56
11. Solve for Length:
Length = (76.32 * 24.56) / (76.32h2)
12. The volume of the third section can be calculated by multiplying the area of the section by its height:
Volume = Area * Length
Volume = 24.56 * ((76.32 * 24.56) / (76.32h2)) = 201.76 cu. m
Therefore, the correct answer is option D) 201.76 cu. m.
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Community Answer
Calculate the volume of the third section with areas of 76.32 m2 and 2...
Concept:
Volume of prismoid
Volume of prismoid
Where A1 = Area of one section (or side) of prismoid
A2 = Area of the second section (or side) of prismoid
Calculation:
Given
A1 = 76.32 m2
A2 = 24.56 m2
d = 4 m
Volume (V) = 201.76 m3
A1 = 76.32 m2
A2 = 24.56 m2
d = 4 m
Volume (V) = 201.76 m3
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Calculate the volume of the third section with areas of 76.32 m2 and 24.56 m2, separated by 4 m.a)201.67 cu. mb)210.11 cu. mc)210.76 cu. md)201.76 cu. mCorrect answer is option 'D'. Can you explain this answer?
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Solutions for Calculate the volume of the third section with areas of 76.32 m2 and 24.56 m2, separated by 4 m.a)201.67 cu. mb)210.11 cu. mc)210.76 cu. md)201.76 cu. mCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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