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In Mathematics / High School | 2014-04-04

Mike constructed a closed box that measures 2.5 feet long by 3 feet wide by 1.5 feet high. What is the total area of the material Mike needs to construct the box?

Asked by roadhammer

Answer (3)

The total area is 2( 2.5 3 +3 1.5 + 2.5 1.5) =2( 7.5 + 4.5 + 3.75) =2 15.75 = 31.5 ;

Answered by crisforp | 2024-06-10

To find the total area of material needed for the box, calculate the area of each face and sum them up. The total area Mike needs is 39 square feet.
To calculate the total area of the material Mike needs to construct the box, we have to find the area of all six faces of the rectangular box. The dimensions given are 2.5 feet long, 3 feet wide, and 1.5 feet high. There are two faces for each dimension:
Long sides (2.5 ft x 1.5 ft) imes 2 sides = 7.5 ft² imes 2 = 15 ft²
Wide sides (3 ft x 1.5 ft) imes 2 sides = 4.5 ft² imes 2 = 9 ft²
Top and Bottom (2.5 ft x 3 ft) imes 2 sides = 7.5 ft² imes 2 = 15 ft²
Adding these together gives us the total area.
Total Area = 15 ft² + 9 ft² + 15 ft² = 39 ft²

Answered by LakeBell | 2024-06-24

To construct the box, Mike needs a total area of 31.5 square feet . This is calculated by summing the areas of all six faces of the box. The calculations involve finding the area of each pair of opposite faces based on the given dimensions.
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Answered by LakeBell | 2024-12-23