DSQ: Calculating the diagonal of a prism - GMAT Quantitative

The diagonal of a rectangular prism is found via the formula

The second statement reduces this to

However, the actual length is unknown. Statement 1 allows the calculation of a numerical value:

To find the length of the diagonal, we need the side length.

I) Gives us the volume of the cube. Take the cubed root to find the side length.

II) Gives us the surface area, divide by 6 (the number of faces in a cube) and take the square root to find the side length.

Diagonal of a cube is the side length times the square root of three. Alternatively, this can be found using the Pythagorean Theorem twice.

Either way, we can use I) or II) to find our side lenght and then our diagonal.

The diagonal of a rectangular prism is found via the formula

The second statement reduces this to

However, the actual length is unknown. Statement 1 allows the calculation of a numerical value:

To find the length of the diagonal, we need the side length.

I) Gives us the volume of the cube. Take the cubed root to find the side length.

II) Gives us the surface area, divide by 6 (the number of faces in a cube) and take the square root to find the side length.

Diagonal of a cube is the side length times the square root of three. Alternatively, this can be found using the Pythagorean Theorem twice.

Either way, we can use I) or II) to find our side lenght and then our diagonal.

The diagonal of a rectangular prism is found via the formula

The second statement reduces this to

However, the actual length is unknown. Statement 1 allows the calculation of a numerical value:

To find the length of the diagonal, we need the side length.

I) Gives us the volume of the cube. Take the cubed root to find the side length.

II) Gives us the surface area, divide by 6 (the number of faces in a cube) and take the square root to find the side length.

Diagonal of a cube is the side length times the square root of three. Alternatively, this can be found using the Pythagorean Theorem twice.

Either way, we can use I) or II) to find our side lenght and then our diagonal.

The diagonal of a rectangular prism is found via the formula

The second statement reduces this to

However, the actual length is unknown. Statement 1 allows the calculation of a numerical value:

To find the length of the diagonal, we need the side length.

I) Gives us the volume of the cube. Take the cubed root to find the side length.

II) Gives us the surface area, divide by 6 (the number of faces in a cube) and take the square root to find the side length.

Diagonal of a cube is the side length times the square root of three. Alternatively, this can be found using the Pythagorean Theorem twice.

Either way, we can use I) or II) to find our side lenght and then our diagonal.

The diagonal of a rectangular prism is found via the formula

The second statement reduces this to

However, the actual length is unknown. Statement 1 allows the calculation of a numerical value:

To find the length of the diagonal, we need the side length.

I) Gives us the volume of the cube. Take the cubed root to find the side length.

II) Gives us the surface area, divide by 6 (the number of faces in a cube) and take the square root to find the side length.

Diagonal of a cube is the side length times the square root of three. Alternatively, this can be found using the Pythagorean Theorem twice.

Either way, we can use I) or II) to find our side lenght and then our diagonal.

The diagonal of a rectangular prism is found via the formula

The second statement reduces this to

However, the actual length is unknown. Statement 1 allows the calculation of a numerical value:

To find the length of the diagonal, we need the side length.

I) Gives us the volume of the cube. Take the cubed root to find the side length.

II) Gives us the surface area, divide by 6 (the number of faces in a cube) and take the square root to find the side length.

Diagonal of a cube is the side length times the square root of three. Alternatively, this can be found using the Pythagorean Theorem twice.

Either way, we can use I) or II) to find our side lenght and then our diagonal.

The diagonal of a rectangular prism is found via the formula

The second statement reduces this to

However, the actual length is unknown. Statement 1 allows the calculation of a numerical value:

To find the length of the diagonal, we need the side length.

I) Gives us the volume of the cube. Take the cubed root to find the side length.

II) Gives us the surface area, divide by 6 (the number of faces in a cube) and take the square root to find the side length.

Diagonal of a cube is the side length times the square root of three. Alternatively, this can be found using the Pythagorean Theorem twice.

Either way, we can use I) or II) to find our side lenght and then our diagonal.

The diagonal of a rectangular prism is found via the formula

The second statement reduces this to

However, the actual length is unknown. Statement 1 allows the calculation of a numerical value: