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2 years ago

15

Box A has a volume of 48 cubic meters. Box B is similar to Box A. To create Box B, Box A's dimensions were doubled. What is the

volume of Box B? (1 point)
24 m3

96 m3

144 m3

384 m3

1 answer:

Serggg [28]2 years ago

6 0

Answer: 96m3

Step-by-step explanation:

multiply 48 by two

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3 years ago

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Answer:

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Step-by-step explanation:

<em>Refer to attached picture</em>

Given rectangle ABCD. Its folded shape is given as well.

It has sides a and b and diagonal d, with the angle BCD marked as α.

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This is going to be 2α, which is easy to find out. BOD is cut by the angle bisector, each of the angles is α.

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<u>The area of rectangle ABCD:</u>

A = ab

<u>From the triangle CBD we get:</u>

a/d = sin α ⇒ a = d sin α
b/d = cos α ⇒ b = d cos α

<u>Then</u>

A = d sin α * d cos α = d²sin α cos α

Now, lets find the area of the folded shape.

It is the area of the rectangle minus the area of the triangle CMB as this part is lost as part of overlap.

<u>Area of the triangle:</u>

A = 1/2dh

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A = 1/2d*1/2d tan α = 1/4d² tan α

<u>We have the difference of the areas which is 1/3 of the area of the rectangle:</u>

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cos α = √3/2
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α = 30°

<u>The acute angle formed by the two diagonals of the rectangle is:</u>

2α = 2*30° = 60°

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