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## Example Questions

### Example Question #1 : Dsq: Calculating The Length Of An Edge Of A Prism

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.

**Possible Answers:**

Both statements are needed to answer the question.

Either statement is sufficient to answer the question.

Neither statement is sufficient to answer the question. More information is needed.

Statement II is sufficient to answer the question, but statement I is not sufficient to answer the question.

Statement I is sufficient to answer the question, but statement II is not sufficient to answer the question.

**Correct answer:**

Both statements are needed to answer the question.

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.

### Example Question #1 : Dsq: Calculating The Length Of An Edge Of A Prism

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.

**Possible Answers:**

Statement I is sufficient to answer the question, but statement II is not sufficient to answer the question.

Neither statement is sufficient to answer the question. More information is needed.

Statement II is sufficient to answer the question, but statement I is not sufficient to answer the question.

Either statement is sufficient to answer the question.

Both statements are needed to answer the question.

**Correct answer:**

Both statements are needed to answer the question.

**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:

### Example Question #3 : Dsq: Calculating The Length Of An Edge Of A Prism

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.

**Possible Answers:**

Both statements are needed to answer the question.

Either statement is sufficient to answer the question.

Statement I is sufficient to answer the question, but statement II is not sufficient to answer the question.

Statement II is sufficient to answer the question, but statement I is not sufficient to answer the question.

Neither statement is sufficient to answer the question. More information is needed.

**Correct answer:**

Neither statement is sufficient to answer the question. More information is needed.

**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.

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