Sortable Activity

A county highway crew stores sand in a cone-shaped silo for use during winter ice and snow storms. If the height of the cone is 15 feet and the diameter of the cone is 20 feet, how much sand can be stored in the silo?

Correct! Because the sand will be stored inside the silo, we need to know how much space is inside the cone-shaped silo.

Incorrect. Will the sand be stored inside the silo, or outside the silo?

Nedra has a bookcase and will paint the left side, right side, and top red in order to match the colors in her bedroom. If the bookcase is 3 feet wide, 4 feet tall, and 1 foot deep, how much of the bookcase will be painted?

Correct! The exterior parts of the bookcase – the left side, the right side, and the top – will be painted. This application is a measure of surface area.

Incorrect. Will the parts of the bookcase that are being painted be on the outside or the inside of the bookcase?

A wastebasket is in the shape of a cylinder. If the diameter of the wastebasket is 12 inches and the height is 12 inches, what is the maximum amount of waste that the wastebasket will hold?

Correct! The amount of waste that the wastebasket will hold is related to the volume of the wastebasket, which is an interior attribute of the cylinder.

Incorrect. Will the waste be placed inside or outside the wastebasket?

Rafael has a soccer ball that is 8.65 inches in diameter. He wants to inflate the ball completely. How much air will the ball contain?

Correct! Inflating a soccer ball completely fills the interior of the ball with air.

Incorrect. Will the air be inside the soccer ball or on the surface of the soccer ball?

The Great Pyramid at Khufu, Egypt, is 146 meters tall and is a square pyramid with edge lengths along the base that are 230 meters in length. The slant height of each of the lateral faces is about 220 meters. If the lateral faces were originally covered with plaster, what is the amount of plaster that would be necessary for the Great Pyramid?

Correct! Covering the lateral faces of the pyramid is a measure of the lateral surface area of the square pyramid.

Incorrect. Will covering the lateral faces describe an exterior attribute of the pyramid or an interior attribute?

A wedge of cheese is in the shape of a triangular prism. The base of the wedge is in the shape of a right triangle with a length of 5 centimeters and a width of 12 centimeters. The wedge itself is 8 centimeters tall. If the cheese is melted for a cheese sauce, how much molten cheese will there be in the bowl?

Correct! Melting a wedge in order to reshape it, such as a wedge of cheese, wax, or chocolate, preserves the volume of the wedge.

Incorrect. When the cheese melts, will the resulting amount be equal to what was originally contained in the wedge, or will it be what was on the surface?