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djyliett [7]
2 years ago
11

Taylor is building doghouses to sell. Each doghouse requires 4 full sheets of plywood which Taylor cuts into new shapes. The ply

wood is shipped in bundles of 12 sheets.​
How many doghouses can Taylor make from 16 bundles of plywood?
Mathematics
1 answer:
jeka57 [31]2 years ago
7 0

Answer: 48 doghouses

Step-by-step explanation:

We will look at the details given, then we will perform the necessary operations to solve the problem.

     16 bundles of plywood * 12 sheets in a bundle = 192 sheets

     192 total sheets / 4 sheets to build a dog house = 48 doghouses

<em>Read more about a </em><em>similar problem</em><em> here, please note they use different numbers:</em>

<em>brainly.com/question/739960</em>

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Answer:

The capacity of the container is 2546.78 cm³.

Step-by-step explanation:

The volume of the frustum of a cone is:

\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}]

The information provided is:

r = 16/2 = 8 cm

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Compute the capacity of the container as follows:

\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}]

            =\frac{\pi\cdot8}{3}\cdot[(12)^{2}+(12\cdot 8)+(8)^{2}]\\\\=\frac{8\pi}{3}\times [144+96+64]\\\\=\frac{8\pi}{3}\times304\\\\=2546.784445\\\\\approx 2546.78

Thus, the capacity of the container is 2546.78 cm³.

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