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1 year ago

The solid below is dilated by a scale factor of 5. Find the surface area of the solid

Mathematics

2 answers:

professor190 [17]1 year ago

6 0

Considering the dilation, the surface area of the rectangular prism is of 0.432 units².

<h3>What is the surface area of a rectangular prism?</h3>

The surface area of a rectangular prism of dimensions l, w and h is given by:

Sa = lwh.

In this problem, the dilation means that all dimensions are divided by 5, hence they will be considered as:

w = h = 0.6, l = 1.2.

Hence the surface area of the prism will be of:

Sa = lwh = 1.2 x 0.6 x 0.6 = 0.432 units².

More can be learned about the surface area of a rectangular prism brainly.com/question/21208177

Vesna [10]1 year ago

3 0

The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The solid below is dilated by a scale factor of 5. Hence:

New length = 6 * 5 = 30, new width = 3 * 5 = 15, new height = 3 * 5 = 15

Surface area = 2(30 * 15 + 30 * 15 + 15 * 15) = 2250 unit²

The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

Find out more on equation at: brainly.com/question/2972832

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Answer:

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Now, Let GH = <em>x</em>

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On rearranging,

$x^{2} +18 x - 144 = 0$

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∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

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