Changing Dimensions of 3-D Figures — Unit test Answers

An oblique cylinder has a radius of 10 units and slant length of 26 units.

An oblique cone has a radius of 5 units and a height of 9 units.

Two similar cylinders have surface areas of 24 cm2 and 54 cm2. The volume of the smaller cylinder is 16 cm3.What is the volume of the larger cylinder?

Two cylinders are similar. The radius of cylinder A is 5.6 inches. The radius of cylinder B is 1.4 inches. If the height of cylinder B is 4 inches, what is the height of cylinder A?

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.

A grain silo is composed of a cylinder and a hemisphere. The diameter is 4.4 meters. The height of its cylindrical portion is 6.2 meters.

The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2.What is the lateral area of the smaller cylinder?

The radius of the sphere is 10 units.

Which statements about the cylinder are true? Select two options.

A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. The apothem of the hexagon is 2 centimeters.

A prism is enlarged by a factor of 4. The volume of the new prism is 576 cubic units. What could be the dimensions of the original prism?

How many edges does a rectangular prism have?

Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty space inside the packaging box is filled with tissue paper to keep the gift box from moving. The dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box. The volume of the smaller box is 24 cubic centimeters.

A polygon with 3 sides is stacked to form a prism.

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.