Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.