Surface Area Word Problems 7th Grade

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  1. Surface Area Word Problems 7th Grade Math
  2. 5th Grade Surface Area Word Problems
  3. Surface Area Word Problems 7th Grade Math Worksheets
  4. Volume Word Problems
  5. 7th Grade Word Problems Printable
  6. 7th Grade Word Problems Worksheet
Related Topics: More Geometry Lessons

Word problems: area and volume. Word problems: area and volume. 7.G.B.6 - Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Check out Get ready for 7th grade. Legend (Opens a modal) Possible mastery points. Volume and surface area word problems Get 3 of 4 questions to level up! Up next for you: Unit test. Level up on all the skills in this unit and collect up to 2900 Mastery points! Start Unit test. Seventh grade is an extremely important math year in the lives of students. It is often one of the fi nal years for students to solidify their basic math skills before moving on to the abstract world of algebra and geometry. The focus of Seventh-Grade Math Minutes is math fl uency—teaching students to solve problems effortlessly and rapidly. Included are the quizzes and test from the Grade 7 Surface Area & Volume (Unit 7). There are 3 quizzes that assess fundamental unit concepts. The final unit test is 4 pages with problems that increase in difficulty. It starts with multiple choice, followed by short and long answer questions. We have free math worksheets suitable for Grade 7. Multiply Decimals, Divide Decimals, Add, Subtract, Multiply, and Divide Integers, Evaluate Exponents, Fractions and Mixed Numbers, Solve Algebra Word Problems, Find sequence and nth term, Slope and Intercept of a Line, Circles, Volume, Surface Area, Ratio, Percent, Statistics, Probability Worksheets, with video lessons, examples and step-by.


In these lessons, we will learn how to
  • calculate the surface area of solid cylinders.
  • calculate the surface area of hollow cylinders or tubes or pipes.
  • solve word problems about cylinders.
  • calculate the surface area of cylinders using nets.

Surface Area of a Solid Cylinder

A cylinder is a solid that has two parallel faces which are congruent circles. These faces form the bases of the cylinder. The cylinder has one curved surface. The height of the cylinder is the perpendicular distance between the two bases.

The net of a solid cylinder consists of 2 circles and one rectangle. The curved surface opens up to form a rectangle.


Surface area = 2 × area of circle + area of rectangle
Surface Area = 2πr

Surface Area Word Problems 7th Grade Math

2 + 2πrh = 2πr(r + h)
where r is the radius and h is the height.
Worksheets
Calculate the volume of cylinders
Calculate the surface area of cylinders
Volume and surface area of cylinders
Surface area of cylinders and pipes

Example:

The diameter of the base of a cylinder is 12 cm and the height is 8 cm. Find the surface area of the solid cylinder.

Solution:

Radius = 6 cm
Surface area = 2πr (r + h)
=
= 528 cm2How to derive and use the formula of the surface area of a cylinder?
  • Show Step-by-step Solutions
Surface Area Word Problems 7th GradeHow to find the surface area of a cylinder? Example:
Find the surface area of a cylinder with r = 18in, h = 17in. How to calculate the surface area of a cylinder in terms of pi?
  • Show Step-by-step Solutions

Surface area of a hollow cylinder

Sometimes you may be required to calculate the total surface area of a hollow cylinder or tube or pipe.

Total surface area of hollow cylinder
= area of internal curved surface + area of external curved surface + area of the two rings

Example:

The figure shows a section of a metal pipe. Given the internal radius of the pipe is 2 cm, the external radius is 2.4 cm and the length of the pipe is 10 cm. Find the total surface area of the pipe

Solution:

r = 2, R = 2.4, h = 10

Total surface area of pipe
= area of internal surface + area of external surface + area of the two rings
= 2πrh + 2πRh + 2(πR2– πr2)
= (2π × 2 × 10) + (2π × 2.4 × 10) + (2 × (2.42π – 22π))
= 40π + 48π + 3.52π
= 91.52π
= 91.52 × 3.142
= 287.56 cm2

5th Grade Surface Area Word Problems

Word problems about cylinders

Problem:
Surface Area Word Problems 7th Grade How many square feet of metal are used to make the can?
  • Show Step-by-step Solutions

Surface Area Word Problems 7th Grade Math Worksheets

Problem:
Find the surface area of a cylinder without the lid.

Surface Area of cylinder using nets

Use the net of a cylinder to determine its volume and surface area.
  • Show Step-by-step Solutions

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


Volume Word Problems


7th Grade Word Problems Printable

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7th Grade Word Problems Worksheet