Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full. its width is 3 and 1/2 in and its height is 77 in. find the length of the popcorn box in inches. round your answer to the nearest tenth if necessary.

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13-05-2022
Mathematics

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Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full. its width is 3 and 1/2 in and its height is 77 in. find the length of the popcorn box in inches. round your answer to the nearest tenth if necessary.

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jainveenamrata jainveenamrata · Answer 1 · 2022-05-18T13:41:16+02:00

If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.

What is a rectangular prism?

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.

Its width is 3 and 1/2 in and its height is 77 in.

Then the width of the prism will be

[tex]\rm W = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}[/tex]

Then the length of the popcorn box in inches will be

[tex]\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3[/tex]

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