Volume and Surface Area

An architect's scale model of an office building is 50 cm tall. If the model is one-fortieth the actual size, find how many times more volume the actual building has compared to the scale model.

• 40

• 160

• 1600

• 64000

A birthday cake will serve 15 people and requires 300mL of icing. If a baker decides to double each dimension of the cake and use the same thickness of icing as before, determine how much icing will be required.

• 1200mL

• 300mL

• 600mL

• 900mL

What is the surface area of the square pyramid shown?

• 576

• 360

• 504

• 198

What is the surface area of the square pyramid shown?

• 576

• 136

• 208

• 352

Which is closest to the surface area of the cone shown?

• 603

• 703

• 509

• 503

What is the surface area of an ice cream cone if the diameter is 4 inches and the slant height is 6 inches?

• 150.72

• 43.96

• 50.24

• 56.52

What is the closest to the volume of this square based pyramid?

• 40

• 26.7

• 33.3

• 80

The volume of a rectangular prism is 125 cubic centimeters. If the width of the prism is multiplied by a scale factor of 2, what is the volume of the new prism?

• 1,000

• 500

• 250

• 125

If the width of the rectangular prism is multiplied by a scale factor of 3, which of the following is true?

• The volume is 9 times as large.

• The volume remains the same.

• The volume increases by 3.

• The volume is also multiplied by a scale factor of 3.

Which statement is true?

• Doubling the length of the prism will double its surface area

• Multiplying the length of a prism by a scale factor of 4 will double its volume

• Doubling the length of a prism will double its volume

• Multiplying the length of a prism by a scale factor of 4 will also increase the surface area by a scale factor of 4