Surface Area of Rectangular Prisms

The video tutorial explains how to calculate the surface area of a right rectangular prism. It begins by introducing the concept and dimensions of the prism, followed by a detailed explanation of the surface area formula. The formula involves calculating the area of each face and summing them up. The tutorial then demonstrates the calculation using specific dimensions, resulting in a surface area of 432 square centimeters. The video concludes with a summary of the process.

What are the dimensions of the box mentioned in the problem?

• 15 cm length, 8 cm width, 10 cm height

• 10 cm length, 5 cm width, 7 cm height

• 12 cm length, 6 cm width, 8 cm height

• 12 cm length, 8 cm width, 6 cm height

What is the formula for the surface area of a right rectangular prism?

• 2(lw + hw + hl)

• lw + hw + hl

• 2lw + 2hw + 2hl

• lw + 2hw + 2hl

Why do we multiply the length and width by two in the surface area formula?

• To account for the left and right faces

• To account for the front and back faces

• To account for the top and bottom faces

• To account for all six faces

Which faces are calculated using the term 2hw in the formula?

• Front and back faces

• Left and right faces

• All faces

• Top and bottom faces

What is the purpose of expressing the surface area formula in factored form?

• To simplify the calculation

• To make it easier to remember

• To reduce the number of terms

• To factor out common dimensions

What is the first step in calculating the surface area using the given dimensions?

• Multiply length and width

• Multiply height and width

• Multiply height and length

• Add all dimensions

What is the result of 2 times the length times the width for the given box?

• 432

• 192

• 144

• 96

What is the result of 2 times the height times the width for the given box?

• 192

• 432

• 144

• 96

What is the result of 2 times the height times the length for the given box?

• 192

• 144

• 96

• 432

What is the total surface area of the box in square centimeters?

• 96

• 192

• 144

• 432