Surface Area Word Problems 7th Grade

Related Topics: More Geometry Lessons

1. 7th Grade Word Problems Worksheet
2. Surface Area Word Problems 7th Grade Worksheets
3. Surface Area Word Problems Worksheet
4. 7th Grade Word Problem Practice
5. 5th Grade Surface Area Word Problems

1. Seventh grade is an extremely important math year in the lives of students. rewrite word problems as number problems. use mental math whenever possible. Surface Area 61 Stem-Leaf Plots 71 Math Crossword Puzzles 72 Mean/Median/Mode 74.
2. Word Problems Using Area, Volume, Surface Area 7.G.6 Grade 7 Geometry 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.
3. Problem 2: A metal box that is in the shape of rectangular prism has the following dimensions. The length is 9 inches, width is 2 inches, and height is 1 1/ 2 inches. Find the total cost of silver coating for the entire.

Seventh grade AA.9 Volume of cubes and rectangular prisms: word problems 8WV. Volume and Surface Area Word Problems DRAFT. 72% average accuracy. Volume and Surface.

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 = 2πr² + 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?

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How 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?

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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

7th Grade Word Problems Worksheet

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

Omnigraffle pro license key. 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))

Surface Area Word Problems 7th Grade Worksheets

= 40π + 48π + 3.52π
= 91.52π
= 91.52 × 3.142
= 287.56 cm²

Word problems about cylinders

Problem:
How many square feet of metal are used to make the can?

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

Surface Area of cylinder using nets

Surface Area Word Problems Worksheet

Use the net of a cylinder to determine its volume and surface area.

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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.

7th Grade Word Problem Practice

5th Grade Surface Area Word Problems

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