### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #1 : How To Find The Volume Of A Net

Give the volume of the above box in cubic centimeters.

**Possible Answers:**

**Correct answer:**

100 centimeters make one meter, so convert each of the dimensions of the box by multiplying by 100.

centimeters

centimeters

Use the volume formula, substituting :

cubic centimeters

### Example Question #2 : Solid Geometry

A cube made of nickel has sidelength 20 centimeters, Nickel has a density of 8.9 grams per cubic centimeter. What is the mass of this cube?

**Possible Answers:**

**Correct answer:**

The volume of the cube is cubic centimeters. Multiply by the number of grams per cubic centimeter to get grams, or kilograms.

### Example Question #2 : Volume Of A Rectangular Solid

A rectangular prism has length 24 inches, width 18 inches, and height 15 inches. Give its volume in cubic feet.

**Possible Answers:**

**Correct answer:**

Divide each dimension in inches by 12 to convert from inches to feet:

feet

feet

feet

Multiply the three to get the volume:

cubic feet

### Example Question #3 : Solid Geometry

Give the volume of the box in cubic inches.

**Possible Answers:**

**Correct answer:**

Use the volume formula, substituting :

### Example Question #4 : Solid Geometry

One cubic foot is equal to (about) 7.5 gallons.

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

**Possible Answers:**

**Correct answer:**

The pool can be seen as a rectangular prism with dimensions 50 feet by 35 feet by 7 feet; its volume in cubic feet the product of these dimensions, which is

cubic feet.

One cubic foot is equal to about 7.5 gallons, so multiply:

gallons.

### Example Question #5 : Solid Geometry

The above depicts a rectangular swimming pool for an apartment. The pool is six feet deep everywhere. What is the volume of the pool in cubic feet?

**Possible Answers:**

**Correct answer:**

The pool can be seen as a rectangular prism with dimensions 50 feet by 35 feet by 6 feet; its volume is

cubic feet.

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