College

We appreciate your visit to Una caja mide 32 centímetros por 19 centímetros por 14 centímetros Note The original text was already clear and did not contain errors or additional. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Una caja mide 32 centímetros por 19 centímetros por 14 centímetros.

(Note: The original text was already clear and did not contain errors or additional unnecessary information.)

Answer :

The box measures 32 Centimeters by 19 centimeters by 14 centimeters, with a volume of 8,192 cubic centimeters, a surface area of 2,644 square centimeters, and a diagonal of approximately 39.77 centimeters.

The dimensions of the box are given as follows:

Length = 32 centimeters

Width = 19 centimeters

Height = 14 centimeters

These dimensions represent the measurements of the box in three orthogonal directions. The length refers to the longest side of the box, the width represents the side perpendicular to the length, and the height is the vertical dimension.

Using these dimensions, we can calculate certain properties of the box:

1. Volume:

The volume of the box can be found by multiplying the length, width, and height together:

Volume = Length x Width x Height = 32 cm x 19 cm x 14 cm = 8,192 cubic centimeters.

2. Surface Area:

The surface area of the box can be determined by calculating the area of each of its six sides and summing them up. Since the box has a rectangular shape, each side can be treated as a rectangle.

Surface Area = 2lw + 2lh + 2wh

= 2(32 cm x 19 cm) + 2(32 cm x 14 cm) + 2(19 cm x 14 cm)

= 1,216 cm² + 896 cm² + 532 cm²

= 2,644 cm².

3. Diagonal:

The diagonal of the box can be found using the Pythagorean theorem. We can consider the length, width, and height as the three sides of a right-angled triangle.

Diagonal = √(Length² + Width² + Height²)

= √(32 cm)² + (19 cm)² + (14 cm)²

= √1,024 cm² + 361 cm² + 196 cm²

= √1,581 cm²

≈ 39.77 cm.

Therefore, the box measures 32 centimeters by 19 centimeters by 14 centimeters, with a volume of 8,192 cubic centimeters, a surface area of 2,644 square centimeters, and a diagonal of approximately 39.77 centimeters.

For more questions on Centimeters .

https://brainly.com/question/1251803

#SPJ8

Thanks for taking the time to read Una caja mide 32 centímetros por 19 centímetros por 14 centímetros Note The original text was already clear and did not contain errors or additional. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada