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PLEASE HELP
WILL MAKE BRAINLIEST
What solid will be produced if rectangle ABCD is rotated around line m? Assume that the line bisects both sides it intersects. What will the dimensions of the three-dimensional solid be?

rectangular prism; length = 12 in.; width = 6 in.; height = 5 in.
triangular prism; length = 12 in.; width = 6 in.;
height = 5 in.
cylinder; radius = 12 in.; height = 5 in.
cylinder; radius = 6 in.; height = 5 in.

PLEASE HELP WILL MAKE BRAINLIEST What solid will be produced if rectangle ABCD is rotated around line m Assume that the line bisects both sides it intersects Wh class=

Respuesta :

Answer:

Cylinder; radius = 6 in.; height = 5 in

Step-by-step explanation:

we are given

ABCD is a rectangle

and line m  bisects both sides it intersects

So, when we rotate it about line m

It forms cylinder

Since, height rectangle is 5in

so, height of cylinder =h=5in

half of length of rectangle =6in

so, radius of cylinder =r=6in

Answer:

Option D.

Step-by-step explanation:

A rectangle ABCD is rotated around line m which bisects sides AB and DC.

When a solid in the shape of rectangle (two dimensional structure) is rotated about a line, It forms a cylinder (three dimensional structure).

Here the sides of rectangle are given as AB = 12 in and AD = 5 in

Therefore the radius of cylinder formed will be =[tex]\frac{AB}{2}=\frac{12}{2}=6 in.[/tex]

and height of the cylinder will be AD = 5 in.

Option D. is the answer.

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