### All ISEE Upper Level Quantitative Resources

## Example Questions

### Example Question #301 : Geometry

A large crate in the shape of a rectangular prism has dimensions 5 feet by 4 feet by 12 feet. Give its volume in *cubic yards*.

**Possible Answers:**

**Correct answer:**

Explanation:

Divide each dimension by 3 to convert feet to yards, then multiply the three dimensions together:

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

Which is the greater quantity?

(A) The volume of a rectangular solid ten inches by twenty inches by fifteen inches

(B) The volume of a cube with sidelength sixteen inches

**Possible Answers:**

It is impossible to determine which is greater from the information given

(A) is greater

(A) and (B) are equal

(B) is greater

**Correct answer:**

(B) is greater

Explanation:

The volume of a rectangular solid ten inches by twenty inches by fifteen inches is

cubic inches.

The volume of a cube with sidelength 13 inches is

cubic inches.

This makes (B) greater

Saige

Certified Tutor

Certified Tutor

Stanford University, Bachelors, Mechanical Engineering. Stanford University, Current Grad Student, Mechanical Engineering.

Andrew

Certified Tutor

Certified Tutor

Loyola University-Chicago, Bachelors, (1) Philosophy; (2) Political Science. University of Chicago, Masters, Social Science.