Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

A company makes gift boxes in different sizes following the pattern shown below. What is the volume of the fourth gift box to the nearest cubic inch? - see attachment :)

A Company Makes Gift Boxes In Different Sizes Following The Pattern Shown Below What Is The Volume Of The Fourth Gift Box To The Nearest Cubic Inch See Attachme class=

Sagot :

The volume of the fourth box is of 410.1 cubic inches.

---------------------

The volume of a rectangular prism is given by the base area multiplied by the height, that is:

[tex]V = A_bh[/tex]

---------------------

  • For the first three boxes, the height is constant at 9 inches.
  • At the base, the edge length is multiplied by 1.5 each time, as [tex]\frac{4.5}{3} = \frac{3}{2} = 1.5[/tex], thus, for the fourth box, the edge length, in inches, will be of [tex]4.5 \times 1.5 = 6.75[/tex]

---------------------

  • Square base, of length 6.75 inches, thus:

[tex]A_b = 6.75^2 = 45.5625[/tex]

  • Height of 9 inches, thus [tex]h = 9[/tex] and:

[tex]V = A_bh = 45.5625(9) = 410.1[/tex]

The volume of the fourth gift box will be of 410.1 cubic inches.

A similar problem is given at https://brainly.com/question/23756783

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.