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Alexus [3.1K]
3 years ago
13

In the diagram below, RSTU is a rectangle, and the two shaded regions are squares.

Mathematics
1 answer:
sdas [7]3 years ago
7 0

Answer:

length PQ = 8.9 m  

Step-by-step explanation:

The picture below completes the question you  asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.

Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.

Pythagoras theorem

c² = a² + b² Therefore,

c² = 4² + 8²

c² = 16 + 64

c² = 80

square root both sides

c = √80

c = 8.94427191

c ≈ 8.9 m

length PQ = 8.9 m  

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b )  the volume of the smaller cuboid has different dimensions    

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                            =  Width x Depth x Heigh

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            The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.

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                                  =             72 / 4

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Check this answer by dividing the dimension of the cube by the cuboid

         4 by 6 by 3

         2 by 2 by 1

      (4/2) by (6/2) by (3/1)

        2    by    3   by     3       = 2 x 3 x 3     =    18

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