Cavalieri's Principle and Volume of Composite Figures — Unit test Answers

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.

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.

How many edges does a rectangular prism have?

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

An oblique square prism is shown.

An oblique prism has a square base and height of 3 centimeters.

The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

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

The radius of the sphere is 10 units.

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

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm.

A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches.Which could be the lengths of the diagonals of the rhombus?

A triangular prism with a rectangular base is stacked on top of a rectangular prism. The rectangle has side lengths of 20 and 15 units. The rectangular prism has a height of 12. The triangular prism has a height of 16 units.

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.

A solid right pyramid has a square base with an edge length of s units and a height of h units.