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Orion is constructing a rectangular box. The base of the box is a piece of wood with an area of 90 square inches. The volume of the box needs to have a volume of 1,080 cubic inches.
What is the height of the box in inches?

Respuesta :

joseaaronlara

Answer:

The answer to your question is height = 12 in

Step-by-step explanation:

Data

Area of the base = 90 in²

Volume of the box = 1080 in³

height = ?

Process

1.- Write and compare the formula of volume and the formula of area

Area of the base = base x width

Volume = base x width x height

2.- After observing the formula we decide to divide the volume by the area to find the height

  Height = Volume/Area

  Height = 1080/90

 Height = 12 in

Answer: the height of the box is 12 inches.

Step-by-step explanation:

The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where

L represents the length of the rectangular box

W represents the width of the rectangular box

H represents the height of the rectangular box.

The base of the box is a piece of wood with an area of 90 square inches. This means that

LW = 90 square inches

If the volume of the box needs to have a volume of 1,080 cubic inches, it means that

90 × H = 1080

H = 1080/90

H = 12 inches

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