These two prisms are similar. What is the value of y?
1 answer:
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<h2><em><u>Answer:</u></em></h2>
Total Surface Area = 375
You need to find the area of the ceiling, floor, the two rectangle walls and the two trapezoid walls
<u>Area of the ceiling:</u>
c = length * width
c = 9*6.5 = 58.5
<u>Area of the 2 rectangle walls:</u>
w = 2(length * width)
w = 2(9 * 8)
w = 2(72)
w = 144
<u>Area of floor:</u>
f = 9 * 7.5
f = 67.5
<u>Area of the two trapezoids:</u>
a = 6.5
b = 7.5
h = 7.5
Total Surface Area = c + w + f + t
Total Surface Area = 58.5 + 144 + 67.5 + 105
Total Surface Area = 375
Answer: The correct option is D, i.e., 15 units.
Explanation:
It is given that the length of segment TR can be represented by 5x-4.
From figure it is noticed that the side TR and RV is equal and the length of segment RV is 2x+5. So,
The value of x is 3, so the length of side RV is,
In triangle TRS and angle VRS,
TR=VR
RS=RS (common side)
By SAS rule of congruence triangle,
Therefore the side TS and VS are congruent sides.
From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.
Hence, the length of side VS is 15 units and option D is correct.