GMAT Quantitative Reasoning - Prisms

1

What is the diagonal of a rectangular prism?

Its surface area is
Its height = twice its width = thrice its length.

2

What is the diagonal of a rectangular prism?

Its surface area is
Its height = twice its width = thrice its length.

3

While deep-sea diving, Al found a rectangular treasure chest. Before he opens it, he wants to find the volume of the chest. What is it?

I) Al measured the chest's longest side to be twice its smallest side and one-and-a-half times the length of the medium side.

II) Al found that the chest's shortest side is 2.5ft long.

4

While deep-sea diving, Al found a rectangular treasure chest. Before he opens it, he wants to find the volume of the chest. What is it?

I) Al measured the chest's longest side to be twice its smallest side and one-and-a-half times the length of the medium side.

II) Al found that the chest's shortest side is 2.5ft long.

5

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.

6

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.

7

A box with equal length, width, and height has the following dimensions.

I) The diagonal of the cube is $79\sqrt{3} mm$ .

II) The volume of the cube is .

What is the surface area of the box?

8

A box with equal length, width, and height has the following dimensions.

I) The diagonal of the cube is $79\sqrt{3} mm$ .

II) The volume of the cube is .

What is the surface area of the box?

9

Find the length of the diagonal of cube .

I) has a volume of .

II) has a surface area of .

10

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 $\frac{1}{16}$ the length of the medium side.

II) The middle side will be 2 feet long.

Prisms

Practice Questions