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Elina [12.6K]
4 years ago
7

A carpenter designs two cabinets: one in the shape of an oblique rectangular prism and one in the shape of a right

Mathematics
2 answers:
natulia [17]4 years ago
6 0

Answer:

  • The cabinets have the same base area.
  • The cabinets may have the same base dimensions.
  • The cabinets may have different base dimensions.

Step-by-step explanation:

The volume of a prism is the product of its base area and height. It doesn't matter whether the prism is right or oblique, and the shape of the base is immaterial.

Both the given prisms have the same volume and height, so their base areas must be the same. The dimensions of the base may be the same, but do not have to be the same.

Vedmedyk [2.9K]4 years ago
4 0

Answer:

1)The cabinets have the same base area.

3)The cabinets may have the same base dimensions.

4)The cabinets may have different base dimensions.

Step-by-step explanation:

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Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

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\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}

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Also,

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Thus, By SAS similarity postulate,

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⇒ Option first is correct.

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