A watch company is developing packaging for its new watch. The designer uses pentagons with a base area of 20 in2 and rectangles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?

Question

Isaias

Mathematics

9 October, 13:19

A watch company is developing packaging for its new watch. The designer uses pentagons with a base area of 20 in2 and rectangles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?

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Answers (1)

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Davian Booth · Answer 1

The volume of the prototype is 200 cubic inches.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the pentagonal prism:

Volume (V) = base area x height of the rectangular face

Replacing with the values given and solving for V (volume)

V = 20 in2 x 10 in = 200 cubic inches

The volume of the prototype is 200 cubic inches.

Feel free to ask for more if needed or if you did not understand something.