Surface Area of Simple 3D Shapes – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

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Do you need help? Watch the Video Lesson for this Practice Problem. Surface Area of Simple 3D Shapes

After this lesson, you will be able to construct nets from given 3D solids to find surface areas.

The lesson begins by teaching the definition of surface area. It leads to calculating the surface area of a rectangular prism using nets and the formula, SA=2lw+2wh+2lh. It concludes with calculating surface areas of triangular prisms and cylinders using the formula, SA=2Abase+ph.

Learn how to calculate surface areas by figuring out how much paint the Mad Hatter needs to cover the Queen’s throne.

This video includes key concepts, notation, and vocabulary such as 3D figures (a closed 3D geometric object), rectangular or triangular prisms (two congruent rectangular or triangular bases connected with rectangular lateral faces), bases (the two congruent opposite faces that define a prism), lateral faces (the remaining rectangular faces that connect the bases), faces (the 2D polygons of which prisms and pyramids are made), edges (the segments connecting the faces), vertices (the points where edges meet), and the surface area formula SA=2Abase+ph, where Abase represents the area of the base of the prism, p represents perimeter, h represents height.

Before watching this video, you should already be familiar with constructing 3D figures from nets, 3D solids (specifically pyramids and prisms), and finding the area of rectangles and triangles.

After watching this video, you will be prepared to learn find the surface area for multiple types of prisms.

Common Core Standard(s) in focus: 6.G.A.2, 6.G.A.4
A video intended for math students in the 6th grade
Recommended for students who are 11 - 12 years old

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Exercises in this Practice Problem
Find the surface area of each prism.
Identify the formula for the surface area of each prism.
Determine the surface area of each prism.
Calculate the surface area of the given composite 3D object.
Compute the area of each shape.
Find the surface area of the composite 3D object.