Solve word problems involving volume and surface area involving 3D shapes, including composite figures. Math 7th grade Geometry Volume and surface area word problems. 7th grade kids will learn to surface area of the complex shapes in this worksheet. The kids will utilize the measurements given and apply the formulas for finding surface area of different shapes. They can practice surface area with the help of this worksheet. It will be definitely a helping hand in teaching and learning of surface area. Sal solves a word problem that involves surface area of a square pyramid. Surface area word problems. Surface area review. Polygons on the coordinate plane. Current time:0:00Total duration:4:35. 0 energy points. Math 6th grade Geometry Surface area. Surface area word problem example. Google Classroom Facebook Twitter. 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.

1. Surface Area Word Problems 7th Grade Algebra
2. Area Word Problems
3. Surface Area Word Problems 7th Grade Worksheets
4. Surface Area Word Problems 7th Grade Math
5. 7th Grade Algebra Word Problems

Related Topics: More Geometry Lessons


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 Word Problems 7th Grade Algebra

Surface area = 2πr (r + h)
=
= 528 cm²

Area Word Problems

How to derive and use the formula of the surface area of a cylinder?

• Show Step-by-step Solutions

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?

• 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.

Boardmaker mac. 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 × (2.4

Surface Area Word Problems 7th Grade Worksheets

²π – 2²π))
= 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

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.

Surface Area Word Problems 7th Grade Math

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7th Grade Algebra Word Problems