Chapter 12 Unit TEST: Surface Area and Volume Answers

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.

The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346.41 square inches. The prism is 12 inches tall.What is the approximate lateral area of the prism? Round to the nearest whole number.

How many edges does a rectangular prism have?

An oblique square prism is shown.

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

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 polygon with 3 sides is stacked to form a prism.

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.

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.

The radius of the sphere is 10 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 silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of the cylinder are equal. The diameter of the circular base of the cylinder is 10 feet. The cylinder is 40 feet tall. One of the circular bases on the cylinder is in contact with the ground.What is the area of the surface of the silo that will be exposed to rain, wind, and sun?

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?