Lesson 14
Surface Area of Right Prisms
Problem 1
Edge lengths are given in units. Find the surface area of each prism in square units.
![Five prisms.](https://staging-cms-im.s3.amazonaws.com/9vLdafcNcB24rAkVLWQDc1SV?response-content-disposition=inline%3B%20filename%3D%227-7.7.newPP.prismsABCDE09.png%22%3B%20filename%2A%3DUTF-8%27%277-7.7.newPP.prismsABCDE09.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T160219Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=6febcbcb331b5a51ca304e328473a34d4c43c13d44c2e42c514f0327c8e46a3d)
Solution
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Problem 2
Priya says, “No matter which way you slice this rectangular prism, the cross section will be a rectangle.” Mai says, “I’m not so sure.” Describe a slice that Mai might be thinking of.
![A rectangular prism.](https://staging-cms-im.s3.amazonaws.com/eKZrz4GZwG9qdoZtL7AjLwJJ?response-content-disposition=inline%3B%20filename%3D%227-7.7.newPP_Image_8mno.png%22%3B%20filename%2A%3DUTF-8%27%277-7.7.newPP_Image_8mno.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T160219Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=d01089b5ce916ef05a534896b8a16d90036aba652ea33876c05431ca5249ec7e)
Solution
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(From Unit 7, Lesson 11.)Problem 3
\(B\) is the intersection of line \(AC\) and line \(ED\). Find the measure of each of the angles.
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Angle \(ABF\)
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Angle \(ABD\)
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Angle \(EBC\)
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Angle \(FBC\)
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Angle \(DBG\)
![Two lines and two rays that intersect at point B creating 6 angles.](https://staging-cms-im.s3.amazonaws.com/NY2HeqWfEtjiZPVJDfji5fws?response-content-disposition=inline%3B%20filename%3D%227-7.6.A.PP.Image.11.png%22%3B%20filename%2A%3DUTF-8%27%277-7.6.A.PP.Image.11.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T160219Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=ecf9bdf151119023c05d44c6a5b7c862639362e4cfdf2b0cfad0e7b3002094e9)
Solution
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(From Unit 7, Lesson 5.)Problem 4
Write each expression with fewer terms.
- \(12m-4m\)
- \(12m-5k+m\)
- \(9m+ k-(3m-2k)\)
Solution
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(From Unit 6, Lesson 20.)Problem 5
- Find 44% of 625 using the facts that 40% of 625 is 250 and 4% of 625 is 25.
- What is 4.4% of 625?
- What is 0.44% of 625?
Solution
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(From Unit 4, Lesson 9.)