# Two Boxes

Pro Problems > Math > Geometry > Solids > Prisms and Cylinders## Two Boxes

A box (rectangular prism) is twice as tall as it is long, and it is a third as long as it is wide. If the box was filled with sand four times, and each time dumped into a second box that was 12 inches by 24 inches by 8 inches, the second box would be full. What are the first box's dimensions?

2

3

Presentation mode

Problem by Mr. Twitchell

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.Assign this problem

Click here to assign this problem to your students.## Similar Problems

### Room Volume

The length, the width, and the height of a room are x, x + 2, and x - 8. The room’s volume is 200x. What is the length of the room?

### Interior Diagonal

The length of the interior diagonal of a rectangular prism is given by d =H

. The surface area is given by A = 2HL + 2HW + 2LW. If the length of the interior diagonal is 15, and the surface area is 99, find the sum of H + W + L. ^{2}+ L^{2}+ W^{2}### Cutting the Cheese

A wheel of cheese is 8 inches in diameter, and is 4 inches in height. If a wedge is cut from the wheel, and the straight line distance from one outer corner to the other outer corner is 4 inches, what is the volume of the wedge?

### Cubic Box

A box’s width is one more than its length, and its height is two less than its length. Its volume is 63 less than the cube of its length. What are the box’s dimensions?

### Box Dimensions

# Featured Games on This Site

Match color, font, and letter in this strategy game

Trap all the dots in this problem-solving puzzle

# Blogs on This Site

Reviews and book lists - books we love!

The site administrator fields questions from visitors.

Like us on Facebook to get updates about new resources