Homework Help is Here – Start Your Trial Now!
Math
Geometry
Ariana built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box. TOY BOX NET OF TOY BOX 14 cm 11 cm 15 cm What is the surface area, in square centimeters, of the toy box?

Ariana built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box. TOY BOX NET OF TOY BOX 14 cm 11 cm 15 cm What is the surface area, in square centimeters, of the toy box?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question
**Rectangular Prism Toy Box Construction** ______________________________ Ariana built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box. **Toy Box Diagram:** 1. The first diagram depicts a 3-dimensional rectangular prism representing the toy box. This box is open at the top. The edges of the prism are depicted with solid lines for the visible edges and dashed lines for the hidden edges. **Net of the Toy Box:** 1. The net diagram illustrates the layout of the six faces of the rectangular prism so they can be folded into the shape of the toy box. 2. The net has five faces since the toy box is open at the top: - The two vertical rectangles on the left of the net each measure 14 cm by 11 cm, representing the two opposite sides of the toy box. - The middle horizontal rectangle measures 15 cm by 11 cm, representing the bottom of the toy box. - The two vertical rectangles on the right of the net each measure 14 cm by 15 cm, representing the other two opposite sides of the toy box. **Question:** What is the surface area, in square centimeters, of the toy box? ______________________________ To calculate the surface area of the toy box, add up the area of the five faces of the net. 1. Two sides with dimensions 14 cm by 11 cm: - Area of one side: 14 cm * 11 cm = 154 cm² - Total Area for two sides: 154 cm² * 2 = 308 cm² 2. Bottom face with dimensions 15 cm by 11 cm: - Area of bottom: 15 cm * 11 cm = 165 cm² 3. Two sides with dimensions 14 cm by 15 cm: - Area of one side: 14 cm * 15 cm = 210 cm² - Total area for two sides: 210 cm² * 2 = 420 cm² Adding all the areas together: 308 cm² + 165 cm² + 420 cm² = 893 cm² **Answer:** The surface area of the toy box is 893 square centimeters.
Transcribed Image Text:**Rectangular Prism Toy Box Construction** ______________________________ Ariana built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box. **Toy Box Diagram:** 1. The first diagram depicts a 3-dimensional rectangular prism representing the toy box. This box is open at the top. The edges of the prism are depicted with solid lines for the visible edges and dashed lines for the hidden edges. **Net of the Toy Box:** 1. The net diagram illustrates the layout of the six faces of the rectangular prism so they can be folded into the shape of the toy box. 2. The net has five faces since the toy box is open at the top: - The two vertical rectangles on the left of the net each measure 14 cm by 11 cm, representing the two opposite sides of the toy box. - The middle horizontal rectangle measures 15 cm by 11 cm, representing the bottom of the toy box. - The two vertical rectangles on the right of the net each measure 14 cm by 15 cm, representing the other two opposite sides of the toy box. **Question:** What is the surface area, in square centimeters, of the toy box? ______________________________ To calculate the surface area of the toy box, add up the area of the five faces of the net. 1. Two sides with dimensions 14 cm by 11 cm: - Area of one side: 14 cm * 11 cm = 154 cm² - Total Area for two sides: 154 cm² * 2 = 308 cm² 2. Bottom face with dimensions 15 cm by 11 cm: - Area of bottom: 15 cm * 11 cm = 165 cm² 3. Two sides with dimensions 14 cm by 15 cm: - Area of one side: 14 cm * 15 cm = 210 cm² - Total area for two sides: 210 cm² * 2 = 420 cm² Adding all the areas together: 308 cm² + 165 cm² + 420 cm² = 893 cm² **Answer:** The surface area of the toy box is 893 square centimeters.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Prisms
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS