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earnstyle [38]
3 years ago
14

In his science class, Boris conducted an experiment in which he used a glass prism to make a rainbow. He now wants to find the s

urface area of the prism. His teacher gets him a paper model of the prism and spreads it into a flat shape called a net. Boris can see that the net has exactly the same number of faces as the prism. The teacher tells Boris that he can use this net to find the surface area of the prism. Use this image of the net of the prism that Boris’s teacher drew to answer the questions in this activity.
Part A
What is the area of triangle i? Show your calculation.

Part B
Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii? Show your calculation.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

<u>Use the formula for area of the triangle:</u>

  • A = 1/2bh, where b- base, h- height or altitude
<h3>Part A</h3>

<u>The triangle i has:</u>

  • b = 4 cm, h = 1.5 cm

<u>The area is:</u>

  • A = 1/2*4*1.5 = 3 cm²
<h3>Part B</h3>

Triangles have same area as they are congruent.

<u>Total area is:</u>

  • 3*2 = 6 cm²
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Can someone solve these please using the formula AB | a - b |<br><br> And can you show work
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Answer: 1) AC = 13

The formua does not actually apply to all of the problems.

Step-by-step explanation:

1) The absolute value of -8 is added to the absolute value of 5. 8+5=13

2) Subtract the length of the EF from EG to get the length of FG 21 -6 = 15

3) Take what's given and create an equation to solve. 4x + 15 +39 =110. 4x = 110 - (15+39).

4x =110-54. 4x =56. x=56/4. x=14

4) Create another equation. You have two segments that add up to the length of EG, given =23

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Substitute 10 for x

EF=2(10) -12 EF=8

FG=3(10)-15. FG=15

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8 + 15 = 23

5) 2/5 of 25 is 10 So EF is 10. Subtract from 25 to get FG

FG = 15

I hope this helps you.

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