Maths-
General
Easy
Question
What is the length of the longest pole that can be fit in the room of dimensions 5m x 10m x 5m
- 12.25
- 11.95
- 12.85
- 11.85
Hint:
Diagonal of cube=
× side =
a unit
The correct answer is: 12.25
The dimensions of the room are
Length = 5m
Breadth = 10m
Height = 5m
We know that
Length of the longest pole = length of diagonal = ![square root of open parentheses l squared plus b squared plus h squared close parentheses end root](data:image/png;base64,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)
By substituting the values
Length of the longest pole = ![square root of open parentheses 5 squared plus 10 squared plus 5 squared close parentheses end root](data:image/png;base64,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)
So we get
Length of the longest pole = ![square root of blank end root left parenthesis 25 plus 100 plus 25 right parenthesis](data:image/png;base64,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)
By addition
Length of the longest pole = ![square root of 150 equals 12.25 straight m](data:image/png;base64,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)
Therefore, the length of the longest pole that can be put in the room is 12.25m.
The correct option is a)12.25.
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![49 x squared minus 25](data:image/png;base64,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)
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![49 x squared minus 25](data:image/png;base64,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)
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Vtotal = Vcone 1+Vcone 2 Find the volume of the composite solid.
Use 3.14 for pi.
![](data:image/png;base64,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)
Vtotal = Vcone 1+Vcone 2 Find the volume of the composite solid.
Use 3.14 for pi.
![](data:image/png;base64,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)
Maths-General
Maths-
Given edges of the cubes as 3 cm, 4 cm, and 5 cm respectively. Its now melted and made into one single cube. Calculate the edge of a new cube.
Given edges of the cubes as 3 cm, 4 cm, and 5 cm respectively. Its now melted and made into one single cube. Calculate the edge of a new cube.
Maths-General
Maths-
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
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)
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
![](data:image/png;base64,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)
Maths-General