Exploring Surface Area of Rectangular Prisms

This video tutorial covers the concept of surface area for rectangular prisms. It explains how to calculate the surface area by unfolding the prism into a two-dimensional figure and finding the area of each face. The tutorial provides step-by-step instructions for calculating the surface area using both manual calculations and a formula. Several example problems are solved to demonstrate the process, emphasizing the importance of understanding congruent sides and using the correct dimensions.

What is the formula to calculate the surface area of a rectangular prism?

• SA = lw + lh + wh

• SA = l + w + h

• SA = 2lw + 2lh + 2wh

• SA = 2(l + w + h)

Tags

CCSS.7.G.B.6

If a rectangular prism has a length of 6, width of 7, and height of 8, what is its surface area?

• 214 units squared

• 336 units squared

• 292 units squared

• 278 units squared

Tags

CCSS.7.G.B.6

How many faces does a rectangular prism have?

• 5

• 8

• 6

• 4

Tags

CCSS.6.G.A.4

What is the significance of having three sets of congruent sides in a rectangular prism?

• It simplifies the calculation of volume.

• It simplifies the calculation of surface area.

• It has no significance in geometry.

• It means all sides are of equal area.

Tags

CCSS.7.G.B.6

For a prism with dimensions 10x10x15, what is the total surface area?

• 650 units squared

• 800 units squared

• 850 units squared

• 750 units squared

Tags

CCSS.7.G.B.6

What is the surface area of a rectangular prism with dimensions 5x7x4?

• 140 feet squared

• 154 feet squared

• 178 feet squared

• 166 feet squared

Tags

CCSS.7.G.B.6

If the length, width, and height of a rectangular prism are 7, 4.8, and 6 respectively, what is its surface area?

• 209.6 cm squared

• 228.8 cm squared

• 218.8 cm squared

• 198.8 cm squared

Tags

CCSS.7.G.B.6

What is the surface area of a rectangular prism with dimensions 3x4x2?

• 48 meters squared

• 56 meters squared

• 60 meters squared

• 52 meters squared

Tags

CCSS.7.G.B.6

A box used for shipping a geode has dimensions of 7x3x16 inches. What is its surface area?

• 376 inches squared

• 348 inches squared

• 362 inches squared

• 390 inches squared

Tags

CCSS.6.G.A.4

Which set of dimensions will result in the largest surface area?

• 7x3x16

• 5x7x4

• 10x10x15

• 3x4x2

Tags

CCSS.6.G.A.4