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Help with this question, please!! I don't understand!!

Help with this question, please!! I don't understand!!-example-1

2 Answers

3 votes

Answer:

The first choice.

Explanation:

The area is multiplied by (1/2)^2 = 1/4.

This is because lengths are one dimensional and areas are 2 dimensional.

User Wvp
by
5.3k points
3 votes

Answer:

First option is correct i.e: The surface area is multiplied by 1/4

Explanation:

Need to compare the surface area of right rectangular prism when the length, width and height are halved as compared to original length, width and height.

length =4,width =2,height =7

Area of right rectangular prism = 2(wl+hl+hw)

=2(2*4 + 7*4 + 7*2)

=2(8+28+14)

=2(50)

= 100 cm³

Now, if the length, width and height are halved, the surface area will be:

length= 2, width=1, height= 3.5

Area of right rectangular prism= 2(1*2 + 3.5*2 + 3.5*1)

= 2(2+7+3.5)

=2(12.5)

=25 cm³

if the length, width and height are halved the surface area is 25 cm³ while if original length, width and height are used the surface area is 100 cm³.

So, first option is correct i.e: The surface area is multiplied by 1/4.

User Wargre
by
4.7k points
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