Calculating Surface Area Concepts

The video tutorial covers the eighth-grade concept of surface area, specifically focusing on calculating the surface area of a rectangular prism. It begins with an introduction to the problem, referencing the Texas standard 8.7 B and a specific item from the 2016 STAR test. The tutorial explains the difference between lateral and total surface area, providing detailed steps to calculate each. The process involves finding the perimeter of the base, calculating the lateral surface area by multiplying the perimeter by the height, and then adding the area of the bases to find the total surface area. The tutorial concludes with the final calculation and a reminder to check the answer.

What is the main topic discussed in this video tutorial?

• Algebraic Expressions

• Volume of Cylinders

• Pythagorean Theorem

• Surface Area of Rectangular Prisms

Which standard is being covered in this tutorial?

• 8.7 B

• 7.5 A

• 9.3 C

• 10.1 D

What is the shape of the object for which we need to find the surface area?

• Cone

• Rectangular Prism

• Sphere

• Cylinder

What is the difference between lateral and total surface area?

• Lateral includes bases, total does not

• Lateral is only the bases, total includes all faces

• Lateral excludes bases, total includes all faces

• Lateral is the same as total

What is the formula for calculating the lateral surface area?

• Length times width

• Volume divided by height

• Perimeter of base times height

• Base area times height

How do you calculate the perimeter of the base?

• Add all sides once

• Multiply length by width

• Subtract width from length

• Double the length and width, then add

What is the perimeter of the base in this problem?

• 12.4

• 15.6

• 8.2

• 10.8

What is the next step after finding the perimeter of the base?

• Subtract from the base area

• Add to the base area

• Multiply by the height

• Divide by the height

What is the lateral surface area calculated in this problem?

• 64.28 square inches

• 75.34 square inches

• 102.16 square inches

• 88.56 square inches

What is the role of the height in calculating the lateral surface area?

• It is subtracted from the perimeter

• It is multiplied by the perimeter

• It is divided by the perimeter

• It is added to the perimeter