A speaker is in the shape of a cube with an edge length of 3. 5 inches. The speaker is sold in a package in the shape of a square prism with a base area of 16 square inches and a height of 4. 25 inches.

What is the surface area of the package, in square inches? (number ONLY in the answer, DO NOT ROUND)

Question

20-04-2022
Mathematics

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A speaker is in the shape of a cube with an edge length of 3. 5 inches. The speaker is sold in a package in the shape of a square prism with a base area of 16 square inches and a height of 4. 25 inches.

What is the surface area of the package, in square inches? (number ONLY in the answer, DO NOT ROUND)

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millerco23 millerco23 · Answer 1 · 2022-04-20T04:54:54+02:00

Answer: 100 inches

Step-by-step explanation: To solve this you have to know the surface area formula for a square prism which is 2a^2+4ah where a is an edge of the base and h is the height. Since 4.25 is the height, we just have to find a base edge. Since the base has an area of 16 inches and it is a square that has all equal sides, we know the base edge is 4 (4 times 4 =16). Now if you plug 4 in for a and 4.25 in for h, you get 100.