3D shapes Pre-Unit Test

The manufacturer of an ice cream company wants to change the design of its ice cream cones. The measurements of the ice cream cone are shown below.

If the manufacturer doubles the radius of the ice cream cone, what will be the resulting effect of the volume of the new ice cream cone?

•  It will increase by a factor of 4.

• It will increase by a factor of 2.

• It will increase by a factor of 16.

• It will increase by a factor of 8.

• F

• G

• H

• J

Two of the faces of a triangular prism are shown below. The two bases are represented by the equilateral triangle, and the lateral faces are represented by the rectangle.

What is the total surface area of this triangular prism?

  Below is information about two similar pyramids.

Pyramid A

Surface Area = 270 cm²

Volume = 190 cm³

Pyramid B

Surface Area = 480 cm²

Volume = ?

What is the volume of pyramid B?

• 850.7 cm³

• 450 cm³

•  636 cm³ 

•  152 cm³

A square pyramid and triangular prism are shown below.

What is the ratio of the volume of the square pyramid to the volume of the triangular prism

• 8:5

• 1/3:4/5

• 76:23

• 105:92

  Which of the following semicircles would create a three-dimensional object with a surface area of 400𝝅 square units when rotated about the x-axis? 

• 
• 
• 
• 

A pyramid has a base that is a regular hexagon with each side measuring 10 units. The base of the pyramid is shown below

If the pyramid has a height of 19 units, what is the approximate volume of the pyramid?

• 7153 units³

• 3353 units²

• 1645 units³

• 5530 units³

What is the total surface area of the resultant three-dimensional object?

______ units²

Approximately how much cardboard will be needed for the first order of 500 action figures?

•  810930 cm²

•  310915 cm²

• 10900 cm²

•  554400 cm²

A roll of paper is shown below.

About how much cardboard is needed to make the inner tube for a roll of paper if the tube has a diameter of 4.5 cm and is 23 cm long?

• 325 cm²

• 637 cm²

• 125 cm²

• 879 cm²