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What is the area of the cross section that is parallel to side PQRS in this rectangular box?

2 Answers

7 votes

Answer:

exactly one half the area of the rectangle

Explanation:

if you take a cross section then that means that you have put a diagnal line bisecting the rectangle in to two congruent triangles. meaning to find the area of the triangle you take 1/2b*h

meaning you would take the two sides of the triangle you know the length of. take 1/2 times one of them and multiply that answer by the other side length.

User Saiqul Haq
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4 votes

Answer:

The area of the cross-section that is parallel to side BFGC is 216 square centimeters.

Explanation:

The graph wasn't provided. However, the image attached model the same problem but with different values. So, observe the process, it's gonna be the same.

The complete question is: What is the area of a cross section that is parallel to face BFGC?

In the image, you can observe that the side or face BFGC is at one side, and its dimensions are 36x6 in centimeters, because the base is 36 cm and its height is 6cm.

Now, we know that the defintion of the area of a rectangle is


A=bh, where
b is the base and
h is the height. So,


A=36cm(6cm)=216cm^(2)

Therefore, the area of the cross-section that is parallel to side BFGC is 216 square centimeters.

What is the area of the cross section that is parallel to side PQRS in this rectangular-example-1
User QPTR
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