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02 Sep 2022, 09:35
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Difficulty:
35%
(medium)
Question Stats:
65% (01:27) correct
35%
(01:59)
wrong
based on 34
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What is the volume of a rectangular solid?
(1) Length of one of sides of the solid is 8.
(2) One of the faces has area of 30 and perimeter of 22.
(1) Length of one of sides of the solid is 8.
(2) One of the faces has area of 30 and perimeter of 22.
02 Sep 2022, 12:30
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To find the volume of the rectangular solid we need the measure of the three sides or alternatively some information that can help us obtain the area.
Statement 1
(1) Length of one of sides of the solid is 8.
Knowing the length of just one side will not help us obtain the volume of the rectangular solid. Hence this information is not sufficient.
Eliminate A and D.
Statement 2
(2) One of the faces has area of 30 and perimeter of 22.
We are given the area and perimeter of one of the face. With this set of information, we can find the dimensions of that face.
Let the length, breadth and height of the rectangular solid be l , b and w respectively.
We know l * b = 30 ; 2(l + b) = 22
Using both, we can obtain the value of l & b
The value of l and b is 6 and 5 respectively.
However, at this stage we dont know the depth. Hence we can eliminate B
Combined
From statement 1, we have the length of one side is 8. As the dimension of the other two sides is 5 and 6 respectively, we can conclude that the length of the third side is 8.
As we have the information of all three sides, we can find the volume. Hence the combined information is sufficient.
Option C
Statement 1
(1) Length of one of sides of the solid is 8.
Knowing the length of just one side will not help us obtain the volume of the rectangular solid. Hence this information is not sufficient.
Eliminate A and D.
Statement 2
(2) One of the faces has area of 30 and perimeter of 22.
We are given the area and perimeter of one of the face. With this set of information, we can find the dimensions of that face.
Let the length, breadth and height of the rectangular solid be l , b and w respectively.
We know l * b = 30 ; 2(l + b) = 22
Using both, we can obtain the value of l & b
The value of l and b is 6 and 5 respectively.
However, at this stage we dont know the depth. Hence we can eliminate B
Combined
From statement 1, we have the length of one side is 8. As the dimension of the other two sides is 5 and 6 respectively, we can conclude that the length of the third side is 8.
As we have the information of all three sides, we can find the volume. Hence the combined information is sufficient.
Option C
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