Geometry Assessment Questions 11c 11d

A cube has an edge length of 6 millimeters. If the length of the edge is doubled, what is the resulting surface area of the cube?

• 144 mm²

• 216 mm²

• 432 mm²

• 864 mm²

Examine the diagram shown with the given dimensions. Part A: What is the name of the figure shown in the diagram?

• rectangular prism

• triangular pyramid

• triangular prism

• rectangular pyramid

What is the surface area of the figure?

• 840 yd²

• 1,680 yd²

• 3,136 yd²

• 3,976 yd²

The base of a monument of a national hero is a trapezoidal prism. The statue of the hero will stand on the top of the base. Part A: Determine the area of the top of the base.

• 589 ft²

• 475 ft²

• 990 ft²

• 1,980 ft²

The base of a monument of a national hero is a trapezoidal prism. The statue of the hero will stand on the top of the base. If all sides of the monument that are above the ground are painted, how much area was painted?

• 1,980 ft²

• 1,178 ft²

• 3,633 ft²

• 3,158 ft²

The diameter of a sphere that has a volume of 2,240 cubic centimeters is reduced by half. What is the volume of the resulting sphere?

• 560 cm³

• 280 cm³

• 1,120 cm³

• 4,480 cm³

The base of a pyramid is a regular hexagon. The height of the pyramid is 22 feet. Calculate the volume of the pyramid to the nearest foot.

• 1,501 ft³

• 5,505 ft³

• 8,258 ft³

• 16,516 ft³

The base of a pyramid is a regular pentagon with a perimeter of 75 feet. The center of the pentagon is 10.32 feet from the edge and the slant height of the pyramid is 16 feet. What is the surface area of the pyramid?

• 387 ft²

• 600 ft²

• 987 ft²

• 1,200 ft²

A rectangular prism is shown below with given dimensions. If the dimensions are tripled, what is the effect on its volume?

• The volume will increase by a factor of 3.

• The volume will increase by a factor of 6.

• The volume will increase by a factor of 9.

• The volume will increase by a factor of 27.

A rectangular pyramid has a volume of 80 cubic inches. If the length and width of the base are doubled, what is the resulting volume?

• 640 in³

• 320 in³

• 240 in³

• 160 in³