All PSAT Math Resources
Example Questions
Example Question #1 : How To Find The Surface Area Of A Tetrahedron
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
Possible Answers:
Correct answer:
Explanation:
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute :
square inches.
Example Question #1 : Tetrahedrons
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Possible Answers:
Insufficient information is given to answer the question.
Correct answer:
Explanation:
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about .
Rounded, this is 84.9.
All PSAT Math Resources
Popular Subjects
Chemistry Tutors in Boston, Computer Science Tutors in Phoenix, Math Tutors in Seattle, SAT Tutors in Chicago, Physics Tutors in Phoenix, Chemistry Tutors in Philadelphia, ACT Tutors in Seattle, Math Tutors in Denver, ACT Tutors in Dallas Fort Worth, GMAT Tutors in Seattle
Popular Courses & Classes
SSAT Courses & Classes in San Diego, ACT Courses & Classes in Miami, SSAT Courses & Classes in Washington DC, MCAT Courses & Classes in Houston, GRE Courses & Classes in Atlanta, SAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Phoenix, ISEE Courses & Classes in Atlanta, ISEE Courses & Classes in Washington DC, SAT Courses & Classes in San Diego
Popular Test Prep
LSAT Test Prep in San Diego, SSAT Test Prep in Atlanta, SAT Test Prep in Atlanta, ISEE Test Prep in Philadelphia, SSAT Test Prep in Washington DC, LSAT Test Prep in Los Angeles, MCAT Test Prep in Philadelphia, SAT Test Prep in Washington DC, LSAT Test Prep in Phoenix, GMAT Test Prep in San Francisco-Bay Area
![Learning Tools by Varsity Tutors](https://vt-vtwa-app-assets.varsitytutors.com/assets/problems/og_image_practice_problems-9cd7cd1b01009043c4576617bc620d0d5f9d58294f59b6d6556fd8365f7440cf.jpg)