DSQ: Calculating the length of an edge of a prism - GMAT Quantitative Reasoning
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A carpenter is building a box to hold his tools. Find the legth of the second smallest side of the box.
I) The box will have a volume of 
.
II) The smallest side is half the length of the longest side and the middle side is three-quarters of the length of the longest side.
A carpenter is building a box to hold his tools. Find the legth of the second smallest side of the box.
I) The box will have a volume of
II) The smallest side is half the length of the longest side and the middle side is three-quarters of the length of the longest side.
Volume of a prism is found by:
We are given the volume in statement I.
We are told how the sides relate in statement II.
Put together these two statements will allow us to set up an equation to find the middle side.
Volume of a prism is found by:
We are given the volume in statement I.
We are told how the sides relate in statement II.
Put together these two statements will allow us to set up an equation to find the middle side.
Compare your answer with the correct one above
A pirate wants to hide all of his treasure. He commisions a local woodworker to build him a series of wooden chests of volume of 
. Find the length of the longest side given the following:
I) The shortest side will be 
the length of the medium side.
II) The middle side will be 2 feet long.
A pirate wants to hide all of his treasure. He commisions a local woodworker to build him a series of wooden chests of volume of
I) The shortest side will be
II) The middle side will be 2 feet long.
A pirate wants to hide all of his treasure. He commisions a local woodworker to build him a series of wooden chests of volume of 
. Find the length of the longest side given the following:
I) The shortest side will be 
the length of the medium side
II) The middle side will be 2 feet long
Use I) and II) to find the length of the smallest side
Next, use the short and medium sides, along with info in the prompt, to find the last side:
A pirate wants to hide all of his treasure. He commisions a local woodworker to build him a series of wooden chests of volume of
I) The shortest side will be
II) The middle side will be 2 feet long
Use I) and II) to find the length of the smallest side
Next, use the short and medium sides, along with info in the prompt, to find the last side:
Compare your answer with the correct one above
Find the height of a box used to ship a computer, given the following:
I) The computer, along with all the cushioning, will take up a space of 
.
II) The width of the box will be 
the length of the box.
Find the height of a box used to ship a computer, given the following:
I) The computer, along with all the cushioning, will take up a space of
II) The width of the box will be
Find the height of a box used to ship a computer, given the following:
I) The computer, along with all the cushioning, will take up a space of 
II) The width of the box will be 
the length of the box
Begin by recalling the volume of a rectangular prism formula:
Where l,w and h are length, width and height.
Next, use II) to set up a relationship between w and l
Then, use the voume formula:
As you can see, we still have two unknowns, and no way of finding either.
Therefore, we do not have information.
Find the height of a box used to ship a computer, given the following:
I) The computer, along with all the cushioning, will take up a space of
II) The width of the box will be
Begin by recalling the volume of a rectangular prism formula:
Where l,w and h are length, width and height.
Next, use II) to set up a relationship between w and l
Then, use the voume formula:
As you can see, we still have two unknowns, and no way of finding either.
Therefore, we do not have information.
Compare your answer with the correct one above