### All SSAT Middle Level Math Resources

## Example Questions

### Example Question #24 : How To Find The Area Of A Rectangle

The above depicts a rectangular swimming pool for an apartment. The pool is six feet deep everywhere.

An apartment manager wants to paint the four sides and the bottom of the swimming pool. How many square feet will he need to paint?

**Possible Answers:**

The correct answer is not given among the other responses.

**Correct answer:**

The bottom of the swimming pool has area

square feet.

There are two sides whose area is

square feet,

and two sides whose area is

square feet.

Add the areas:

square feet.

### Example Question #25 : How To Find The Area Of A Rectangle

If the angles of a quadrilateral are equal to , , , and , what is the value of ?

**Possible Answers:**

**Correct answer:**

Given that there are 360 degrees in a quadrilateral,

### Example Question #161 : Geometry

What is the value of if the angles of a quadrilateral are equal to degrees, degrees, degrees, and ?

**Possible Answers:**

**Correct answer:**

Given that there are 360 degrees in a quadrilateral,

### Example Question #81 : Quadrilaterals

If the length of a rectangle is 7.5 feet and the width is 2 feet, what is the value of if the area is ?

**Possible Answers:**

**Correct answer:**

The area of a rectangle is calculated by multiplying the length by the width. Here, the length is 7.5 and the width is 2, so the area will be 15.

Given that the area is also equal to , the value of will be 3, given that 3 times 5 is 15.

### Example Question #31 : How To Find The Area Of A Rectangle

If a cereal box has a volume of 40 cubic inches, a width of 2 inches, and a height of 5 inches, what is its length?

**Possible Answers:**

**Correct answer:**

The formula for the volume of a rectangular solid is .

Use the provided information from the question in the above formula and solve for the length.

Therefore, the length of the box is 4 inches. In answering this question, it is important to look at the units before selecting an answer. It is easy to be tricked into thinking that because the total answer is in cubic inches that it may be necessary to have square inches, but when multiplying three values, each with inches as their units, the units of the product will be cubic inches.

### Example Question #151 : Geometry

One cubic meter is equal to one thousand liters.

The above depicts a rectangular swimming pool for an apartment. The pool is meters deep everywhere. How many liters of water does the pool hold?

**Possible Answers:**

**Correct answer:**

The pool can be seen as a rectangular prism with dimensions meters by meters by meters; its volume in cubic meters is the product of these dimensions, which is

cubic meter.

One cubic meter is equal to one thousand liters, so multiply:

liters of water.

### Example Question #28 : How To Find The Area Of A Rectangle

Which of the following is equal to the area of a rectangle with length meters and width meters?

**Possible Answers:**

**Correct answer:**

Multiply each dimension by to convert meters to centimeters:

Multiply these dimensions to get the area of the rectangle in square centimeters:

### Example Question #601 : Problem Solving

The above depicts a rectangular swimming pool for an apartment. The pool is five feet deep everywhere.

An apartment manager wants to paint the four sides and the bottom of the swimming pool. One one-gallon can of the paint he wants to use covers square feet. How many cans of the paint will the manager need to buy?

**Possible Answers:**

**Correct answer:**

The bottom of the swimming pool has area

square feet.

There are two sides whose area is

square feet,

and two sides whose area is

square feet.

Add the areas:

square feet.

One one-gallon can of paint covers 350 square feet, so divide:

Seven full gallons and part of another are required, so eight is the correct answer.

### Example Question #84 : Quadrilaterals

You are putting in a new carpet in your living room. The dimensions of the the room are . What is the square footage of carpet needed for the room?

**Possible Answers:**

**Correct answer:**

To find the area of a rectangle, you must multiply the two different side lengths. For this room the answer would be because .

### Example Question #85 : Quadrilaterals

Refer to the above figures. The square at left has area 160. Give the area of the rectangle at right.

**Possible Answers:**

**Correct answer:**

The area of the square, whose sides have length , is the square of this sidelength, which is . The area of the rectangle is the product of the lengths of its sides; this is

The square and the rectangle have the same area, so the correct response is 160.

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