{"id":85936,"date":"2022-05-29T14:58:13","date_gmt":"2022-05-29T09:28:13","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=85936"},"modified":"2022-05-10T14:19:55","modified_gmt":"2022-05-10T08:49:55","slug":"eureka-math-grade-6-module-4-lesson-7","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-6-module-4-lesson-7\/","title":{"rendered":"Eureka Math Grade 6 Module 4 Lesson 7 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 6th Grade Module 4 Lesson 7 Answer Key<\/h2>\n

Eureka Math Grade 6 Module 4 Lesson 7 Example Answer Key<\/h3>\n

Example 1.
\n\"Eureka<\/p>\n

What is the length of one side of this square?
\nAnswer:
\n3 units<\/p>\n

What is the formula for the area of a square?
\nAnswer:
\nA = s2<\/sup><\/p>\n

What is the square\u2019s area as a multiplication expression?
\nAnswer:
\n3 units \u00d7 3 units<\/p>\n

What is the square\u2019s area?
\nAnswer:
\n9 square units<\/p>\n

We can count the units. However, look at this other square. Its side length is 23 That is just too many tiny units to draw. What expression can we build to find this square\u2019s area?
\nAnswer:
\n23 \u00d7 23 cm<\/p>\n

What is the area of the square? Use a calculator if you need to.
\nAnswer:
\n529 cm2<\/sup><\/p>\n

Example 2.
\n\"Eureka<\/p>\n

What does the letter represent in this blue rectangle?
\nAnswer:
\nb = 8<\/p>\n

With a partner, answer the following question: Given that the second rectangle is divided into four equal parts, what number does the x represent?
\nAnswer:
\nx = 8<\/p>\n

How did you arrive at this answer?
\nAnswer:
\nWe reasoned that each width of the 4 congruent rectangles must be the same. Two 4 lengths equals<\/p>\n

What is the total length of the second rectangle? Tell a partner how you know.
\nAnswer:
\nThe length consists of 4 segments that each has a length of 4 cm. 4 \u00d7 4 cm = 16 cm.<\/p>\n

If the two large rectangles have equal lengths and widths, find the area of each rectangle.
\nAnswer:
\n8 cm \u00d7 16 cm = 128 cm2<\/sup><\/p>\n

Discuss with your partner how the formulas for the area of squares and rectangles can be used to evaluate area for a particular figure.
\nAnswer:<\/p>\n

Example 3.
\n\"Eureka<\/p>\n

What does the l represent in the first diagram?
\nAnswer:
\nThe length of the rectangular prism<\/p>\n

What does the w represent in the first diagram?
\nAnswer:
\nThe width of the rectangular prism<\/p>\n

What does the h represent in the first diagram?
\nAnswer:
\nThe height of the rectangular prism<\/p>\n

Since we know the formula to find the volume is V = l \u00d7 w \u00d7h, what number can we substitute for the l in the formula? Why?
\nAnswer:
\n6, because the length of the second right rectangular prism is 6 cm.<\/p>\n

What other number can we substitute for the l?
\nAnswer:
\nNo other number can replace the l. Only one number can replace one letter.<\/p>\n

What number can we substitute for the in the formula? Why?
\nAnswer:
\n2, because the width of the second right rectangular prism is 2 cm.<\/p>\n

What number can we substitute for the h in the formula?
\nAnswer:
\n8 because the height of the second right rectangular prism is 8 cm.<\/p>\n

Determine the volume of the second right rectangular prism by replacing the letters in the formula with their appropriate numbers.
\nAnswer:
\nV = l \u00d7 w \u00d7 h; V = 6 cm \u00d7 2 cm \u00d7 8 cm = 96 cm3<\/sup><\/p>\n

Eureka Math Grade 6 Module 4 Lesson 7 Exercise Answer Key<\/h3>\n

Exercise 1.
\nComplete the table below for both squares. Note: These drawings are not to scale.
\n\"Eureka
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 2.
\n\"Eureka
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 3.
\nComplete the table for both figures. Using a calculator is appropriate.
\n\"Eureka
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Eureka Math Grade 6 Module 4 Lesson 7 Problem Set Answer Key<\/h3>\n

Question 1.
\nReplace the side length of this square with 4 in., and find the area.
\n\"Eureka
\nAnswer:
\nThe student should draw a square, label the side 4 in., and calculate the area to be 16 in2<\/sup>.<\/p>\n

Question 2.
\nComplete the table for each of the given figures.
\n\"Eureka
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Question 3.
\nFind the perimeter of each quadrilateral in Problems 1 and 2.
\nAnswer:
\np = 16 in. p = 118 p = 35 yd.<\/p>\n

Question 4.
\nUsing the formula V = l \u00d7 w \u00d7 h, find the volume of a right rectangular prism when the length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.
\nAnswer:
\nV = l \u00d7 w \u00d7 h; V = 45 cm \u00d7 12 cm \u00d7 10 cm = 5,400 cm3<\/sup><\/p>\n

Eureka Math Grade 6 Module 4 Lesson 7 Exit Ticket Answer Key<\/h3>\n

Question 1.
\nIn the drawing below, what do the letters and represent?
\n\"Eureka
\nAnswer:
\nLength and width of the rectangle<\/p>\n

Question 2.
\nWhat does the expression l + w + l + w represent?
\nAnswer:
\nPerimeter of the rectangle, or the sum of the sides of the rectangle<\/p>\n

Question 3.
\nWhat does the expression l \u2219 w represent?
\nAnswer:
\nArea of the rectangle<\/p>\n

Question 4.
\nThe rectangle below is congruent to the rectangle shown in Problem 1. Use this information to evaluate the expressions from Problems 2 and 3.
\n\"Eureka
\nAnswer:
\nl = 5 and w = 2 p = 14 units A = 10 units2<\/sup><\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 6th Grade Module 4 Lesson 7 Answer Key Eureka Math Grade 6 Module 4 Lesson 7 Example Answer Key Example 1. What is the length of one side of this square? Answer: 3 units What is the formula for the area of a square? Answer: A = s2 What is the … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/85936"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=85936"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/85936\/revisions"}],"predecessor-version":[{"id":137141,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/85936\/revisions\/137141"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=85936"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=85936"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=85936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}