GMAT Quantitative Reasoning - Rectangular Solids & Cylinders

1

What is the diagonal of a rectangular prism?

2

Tetra_1

In the above diagram, a tetrahedron—a triangular pyramid—with vertices is shown inside a cube. Give the volume of the tetrahedron.

Statement 1: The cube can be inscribed inside a sphere with volume $972 \pi$ .

Statement 2: A sphere with surface area $108 \pi$ can be inscribed inside the cube.

3

A regular tetrahedron is a solid with four faces, each of which is an equilateral triangle.

Give the volume of a regular tetrahedron.

Statement 1: Each edge has length 8.

Statement 2: Each face has area $16 \sqrt{3}$ .

4

Tetra_1

Note: Figure NOT drawn to scale.

Refer to the above figure, which shows a tetrahedron, or triangular pyramid. What is the volume of the tetrahedron?

Statement 1: $\bigtriangleup ABD$ is an isosceles triangle with area 64.

Statement 2: $\bigtriangleup ABC$ is an equilateral triangle with perimeter 48.

5

What is the length of the edge of a cube?

6

Find the length of the edge of a tetrahedron.

Statement 1: The volume is 6.

Statement 2: The surface area is 6.

7

Ron is making a box in the shape of a cube. He needs to know how much wood he needs. Find the surface area of the box.

I) The diagonal distance across the box will be equivalent to $4\sqrt{3}ft$ .

II) Half the length of one side is .

8

Ron is making a box in the shape of a cube. He needs to know how much wood he needs. Find the surface area of the box.

I) The diagonal distance across the box will be equivalent to $4\sqrt{3}ft$ .

II) Half the length of one side is .

9

What is the length of the edge of a cube?

10

Tetra_1

In the above diagram, a tetrahedron - a triangular pyramid - with vertices is shown inside a cube. Give the volume of the tetrahedron.

Statement 1: The perimeter of Square is 16.

Statement 2: The area of $\bigtriangleup EGH$ is 8.

Rectangular Solids & Cylinders