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julia-pushkina [17]
3 years ago
13

A carpenter is building a unique jewelry box in the shape of a right triangular prism. The base has measurements of 4 inches, 3

inches, and 5 inches. How much wood will it take to complete the project if it is 6 inches tall?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
Answer: The carpenter will need 84 square inches of wood.

In this problem we are looking for the surface area of the jewelry box. This box has 5 faces. The two triangles at each end and the 3 rectangle pieces between them.

The sides of the triangles are 3, 4, 5 which always forms a right triangle with legs of 3 and 4. Use the formula for the area of a triangle, we have 3 x 4 / 2 = 6. The area of each triangle is 6 square inches.

Now, the three sides, each one has a height of 6.
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30

If we add all the sides together, we get an area of 84 square inches.
6 + 6 + 18 + 24 + 30 = 84
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Answer:

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Step-by-step explanation:

We can find the area of the rectangle

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Add the two areas together

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Rounding to the nearest hundredth

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madam [21]

Answer:

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Step-by-step explanation:

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Math ... answer meeee
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