Geometry Quiz

A cylinder is a polyhedron.

• True

• False

The cross-section of a cylinder is always a circle.

• True

• False

Which net of a rectangular prism has a surface area of 78 units²?

• Net with dimensions labeled on each face.

• Net with different dimensions labeled on each face.

• Net with dimensions labeled on each face.

• Net with dimensions labeled on each face.

Celia must paint the entire surface of the barrel. What is the surface area of the barrel including the top and bottom?

• 565.2 m²

• 628 m²

• 1444.4 m²

• 1758.4 m²

The volume of a pyramid with a square base is 171 in³ and the height is 9.5 in. What is the length of each side of the base?

• 4.24 in

• 7.35 in

• 18 in

• 13.5 in

Leo has an insulated thermos that is shaped like a cylinder. He knows his thermos has a depth of 11 inches and an inside diameter of 4 inches. Calculate how much it will hold in quarts. (One liquid quart = 57.75 in³)

• 9.57 quarts

• 2.39 quarts

• 1.38 quarts

• 0.39 quarts

A can with a 4 in diameter that is 6 in high holds 1 lb of beans. To the nearest ounce, how many ounces of beans would a similar 8 in high can hold? (1 lb = 16 oz)

• a) 21 ounces

• b) 28 ounces

• c) 38 ounces

• d) 18 ounces

A company doubles the height of the can shown. The radius is made smaller so that the volume stays the same. What is the radius, to the nearest hundredth cm, of the new can?

• a) 3.54 cm

• b) 7.07 cm

• c) 6.25 cm

• d) 12.50 cm

A solid-glass sphere is cast with a radius of 30 cm. What is the volume, to the nearest whole number, of this sphere?

• a) 113,040 cm³

• b) 3,768 cm³

• c) 63,585 cm³

• d) 339,120 cm³

Find the surface area of the pentagonal prism.

• a) 978 ft²

• b) 498 ft²

• c) 594 ft²

• d) 729 ft²