Surface Area and Cost Calculations

The video tutorial covers various geometry problems, focusing on calculating surface areas of different shapes like rectangular prisms, cubes, and pyramids. It includes practical applications such as determining the cost of materials and comparing design efficiencies. The tutorial also provides practice on dividing fractions using the Keep Change Flip method and explores the concept of independent and dependent variables in a real-world context.

What is the formula for calculating the surface area of a right rectangular prism without a lid?

• height * length * width

• 2 * (height * width + length * width + width * height)

• 2 * (height * length + length * width + width * height)

• 2 * (height * length + length * width + width * height) - length * width

If a small shipping box has dimensions of 3.5 inches height, 10 inches width, and 7 inches length, what is its surface area?

• 259 inches squared

• 300 inches squared

• 150 inches squared

• 200 inches squared

Which size of shipping box does the company make if it uses 103,600 square inches of cardboard for 100 boxes?

• Large

• Medium

• Small

• Extra Large

How much does it cost to make 1,000 small shipping boxes if the cost per square foot of cardboard is 72 cents?

• $1,295

• $1,500

• $1,000

• $1,200

Which design has less surface area for the gift bag?

• Cannot be determined

• Design 1

• Design 2

• Both have the same surface area

What is the total amount of cardboard needed to make one shoe box and its lid?

• 2042.375 square inches

• 2000 square inches

• 2500 square inches

• 1500 square inches

How do you calculate the surface area of a square pyramid?

• Base area + 3 * (base * height / 2)

• Base area + 2 * (base * height)

• Base area + 4 * (base * height)

• Base area + 4 * (base * height / 2)

What is the cost of fabric needed to make a tent if the surface area is 47.25 square feet and the cost per square foot is 40 cents?

• $15.00

• $20.00

• $18.96

• $25.00

If a cube has a surface area of 80 square feet and an open top, what is the area of one face?

• 16 square feet

• 20 square feet

• 10 square feet

• 25 square feet

What are the dimensions of a right rectangular prism if the area of each face is shown on the net?

• 2, 4, 10

• 4, 5, 8

• 2, 5, 9

• 3, 6, 9