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A room is planned to construct with certain dimensions initially. Instead they constructed with dimensions 10%, 20% and 50% more then planned. The room is assumed to be in the shape of cuboid. Then how more it can hold in terms of percentage? a) 77% b) 75% c) 88% d) 98%?
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A room is planned to construct with certain dimensions initially. Inst...
Calculating the increase in volume:
To find out how much more the room can hold in terms of percentage, we need to compare the volume of the initially planned room with the volume of the constructed room.
Let's assume the initially planned dimensions of the room are:
Length = L
Width = W
Height = H
The volume of the initially planned room is given by:
Volume_initial = L * W * H
The dimensions of the constructed room are:
Length = 1.1L (10% more than planned)
Width = 1.2W (20% more than planned)
Height = 1.5H (50% more than planned)
The volume of the constructed room is given by:
Volume_constructed = (1.1L) * (1.2W) * (1.5H)
To find out how much more the room can hold in terms of percentage, we need to calculate the difference between the volume of the constructed room and the volume of the initially planned room, and then express it as a percentage of the volume of the initially planned room.
Calculating the percentage increase:
Percentage increase = ((Volume_constructed - Volume_initial) / Volume_initial) * 100
Substituting the values, we get:
Percentage increase = (((1.1L) * (1.2W) * (1.5H)) - (L * W * H)) / (L * W * H) * 100
Simplifying the equation:
Percentage increase = (1.98 - 1) * 100
Percentage increase = 0.98 * 100
Percentage increase = 98%
Therefore, the room can hold 98% more in terms of volume compared to the initially planned dimensions.
Answer: The correct option is d) 98%.
To find out how much more the room can hold in terms of percentage, we need to compare the volume of the initially planned room with the volume of the constructed room.
Let's assume the initially planned dimensions of the room are:
Length = L
Width = W
Height = H
The volume of the initially planned room is given by:
Volume_initial = L * W * H
The dimensions of the constructed room are:
Length = 1.1L (10% more than planned)
Width = 1.2W (20% more than planned)
Height = 1.5H (50% more than planned)
The volume of the constructed room is given by:
Volume_constructed = (1.1L) * (1.2W) * (1.5H)
To find out how much more the room can hold in terms of percentage, we need to calculate the difference between the volume of the constructed room and the volume of the initially planned room, and then express it as a percentage of the volume of the initially planned room.
Calculating the percentage increase:
Percentage increase = ((Volume_constructed - Volume_initial) / Volume_initial) * 100
Substituting the values, we get:
Percentage increase = (((1.1L) * (1.2W) * (1.5H)) - (L * W * H)) / (L * W * H) * 100
Simplifying the equation:
Percentage increase = (1.98 - 1) * 100
Percentage increase = 0.98 * 100
Percentage increase = 98%
Therefore, the room can hold 98% more in terms of volume compared to the initially planned dimensions.
Answer: The correct option is d) 98%.
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A room is planned to construct with certain dimensions initially. Instead they constructed with dimensions 10%, 20% and 50% more then planned. The room is assumed to be in the shape of cuboid. Then how more it can hold in terms of percentage? a) 77% b) 75% c) 88% d) 98%?
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A room is planned to construct with certain dimensions initially. Instead they constructed with dimensions 10%, 20% and 50% more then planned. The room is assumed to be in the shape of cuboid. Then how more it can hold in terms of percentage? a) 77% b) 75% c) 88% d) 98%? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A room is planned to construct with certain dimensions initially. Instead they constructed with dimensions 10%, 20% and 50% more then planned. The room is assumed to be in the shape of cuboid. Then how more it can hold in terms of percentage? a) 77% b) 75% c) 88% d) 98%? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A room is planned to construct with certain dimensions initially. Instead they constructed with dimensions 10%, 20% and 50% more then planned. The room is assumed to be in the shape of cuboid. Then how more it can hold in terms of percentage? a) 77% b) 75% c) 88% d) 98%?.
A room is planned to construct with certain dimensions initially. Instead they constructed with dimensions 10%, 20% and 50% more then planned. The room is assumed to be in the shape of cuboid. Then how more it can hold in terms of percentage? a) 77% b) 75% c) 88% d) 98%? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A room is planned to construct with certain dimensions initially. Instead they constructed with dimensions 10%, 20% and 50% more then planned. The room is assumed to be in the shape of cuboid. Then how more it can hold in terms of percentage? a) 77% b) 75% c) 88% d) 98%? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A room is planned to construct with certain dimensions initially. Instead they constructed with dimensions 10%, 20% and 50% more then planned. The room is assumed to be in the shape of cuboid. Then how more it can hold in terms of percentage? a) 77% b) 75% c) 88% d) 98%?.
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