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A rectangular box has length 11 ft, width 8 ft, and height 12 ft. Find its volume as surface area.

Respuesta :

The volume of a rectangular box= 1056 ft³

The surface area of a rectangular box= 632 square ft

What is meant by volume?

Volume is a measure of three-dimensional space that is occupied. It is frequently quantified numerically using SI-derived units or different imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length (cubed) is related to volume. The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space it occupies.

Volume was measured in ancient times using similar-shaped natural containers, and later, standardized vessels. Arithmetic formulas can quickly compute the volume of some simple three-dimensional shapes.

Given,

Length of the rectangular box= 11ft

Width of the rectangular box= 8 ft

Height of the rectangular box= 12 ft

Volume= Length× Width× Height

Volume= 11×8×12

=1056 ft³

Therefore, volume= 1056ft³

Surface area of a rectangular box is,

1 and 2 surfaces, 11 × 8 ===>

Surface area = 2× (11× 8) =  176 square ft

1 and 3 surfaces 11 × 12 ===>

Surface area = 2× (11×12) = 264 square inches

3• 2 surfaces 12 × 8 ===>

Surface area = 2× ( 12 × 8) = 192 square inches

Adding all the surface areas

176 +264 +192= 632  square ft.

The surface area of a rectangular box= 632 square ft

To know more about volume, visit:

https://brainly.com/question/1578538

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