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Viefleur [7K]
2 years ago
12

Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inc

hes? Select three options..
A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.x

Mathematics
1 answer:
Eduardwww [97]2 years ago
8 0

This question is not complete because it lacks the diagram of the Rectangular prism.

Answer:

Attached to this diagram is the necessary diagram

• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.

• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Step-by-step explanation:

A right rectangular prism is a prism that is 3 dimensional in shape and it has 6 rectangular faces.

From the attached diagram, we can see that their is a cross section that is parallel to the base, it has breadth of 8 inches and breathe of 15inches, therefore the option

"• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches." is correct.

Secondly, when we look at the diagram and check the midpoints thought the 8 inches sides , the cross section perpendicular to the base is a rectangle that has a length of 6 inches and a breadth of 15 inches . Therefore the option

"• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches." Is correct

Thirdly, by observing the attached diaiagram,

• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches is correct.

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Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = 2\pi r(r+h)  where r= radius and h is height.

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<em>[π=3.14]</em>

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As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

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