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Find the volume( in cm3) of cuboid, if its length is 2 times more than breadth and breadth is 12cm which is twice its height ?
- a)2295
- b)2952
- c)2592
- d)can not be determined
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Find the volume( in cm3) of cuboid, if its length is 2 times more than...
Breadth = b = 12 cm
Length = 2b+b = 3b = 36 cm
Height = b/2 = 12/2 = 6 cm
Volume of cuboid = lbh = (36)(12)(6) = 2592 cm3
So the answer is option C.
Most Upvoted Answer
Find the volume( in cm3) of cuboid, if its length is 2 times more than...
Understanding the Problem
To find the volume of the cuboid, we need to determine its length, breadth, and height based on the relationships given.
Given Measurements
- Breadth (B): 12 cm
- Height (H): Half of the breadth, so H = B / 2 = 12 cm / 2 = 6 cm
- Length (L): Two times more than the breadth, which can be interpreted as L = B + 2B = 3B = 3 * 12 cm = 36 cm
Calculating Volume
The volume (V) of a cuboid is calculated using the formula:
V = Length × Breadth × Height
Substituting the values we found:
- Length (L) = 36 cm
- Breadth (B) = 12 cm
- Height (H) = 6 cm
Now, calculating the volume:
V = 36 cm × 12 cm × 6 cm
Performing the Calculation
- First, calculate the product of breadth and height:
12 cm × 6 cm = 72 cm²
- Next, multiply this result by the length:
36 cm × 72 cm² = 2592 cm³
Final Result
The volume of the cuboid is 2592 cm³, confirming that the correct answer is option C.
To find the volume of the cuboid, we need to determine its length, breadth, and height based on the relationships given.
Given Measurements
- Breadth (B): 12 cm
- Height (H): Half of the breadth, so H = B / 2 = 12 cm / 2 = 6 cm
- Length (L): Two times more than the breadth, which can be interpreted as L = B + 2B = 3B = 3 * 12 cm = 36 cm
Calculating Volume
The volume (V) of a cuboid is calculated using the formula:
V = Length × Breadth × Height
Substituting the values we found:
- Length (L) = 36 cm
- Breadth (B) = 12 cm
- Height (H) = 6 cm
Now, calculating the volume:
V = 36 cm × 12 cm × 6 cm
Performing the Calculation
- First, calculate the product of breadth and height:
12 cm × 6 cm = 72 cm²
- Next, multiply this result by the length:
36 cm × 72 cm² = 2592 cm³
Final Result
The volume of the cuboid is 2592 cm³, confirming that the correct answer is option C.
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Find the volume( in cm3) of cuboid, if its length is 2 times more than breadth and breadth is 12cm which is twice its height ?a)2295b)2952c)2592d)can not be determinedCorrect answer is option 'C'. Can you explain this answer?
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