MNOP is a square. What are the values of t and f?

• t = 17 , f = 12.5

• t = 17.5 , f = 12

• t = 18 , f = 13

• t = 7.5 , f = 12

What is the value of s and the length of side BC if ABCD is a rhombus?

• s = 45, BC = 434 cm

• s = 42, BC = 413 cm

• s = 46, BC = 436 cm

• s = 40, BC = 404 cm

ABCD is a rectangle. What is the length of AC ?

• AC = 5

• AC = 15

• AC = 13

• AC = 12

Which characteristic guarantees that a parallelogram is a rectangle?

• All of the sides are congruent.

• The opposite sides are parallel.

• The diagonals are perpendicular bisectors.

• The diagonals are congruent.

What three-dimensional solid has 6 rectangular faces, 2 equal bases that are not rectangles, and 18 edges?

• triangular prism

• pentagonal prism

• hexagonal prism

• octagonal prism

Rectangle ABCD has a perimeter of 32 units and will be rotated about line k. What is the 3D shape created ?

• rectangular prism

• cylinder

• trapezoid

• cone

An oblique hexagonal prism has a base area of 42 square cm. The prism is 4 cm tall and has an edge length of 5 cm.

What is the volume of the prism?

• 168 cm³

• 160 cm³

• 169 cm³

• 166 cm³

In the right triangular prism BG is perpendicular to FC.The volume of the prism is 900 cubic centimeters. The height of the prism is 15 centimeters and the height of the triangular base is 10 centimeters. What is the length of edge FC?

• 10 cm

• 13 cm

• 14 cm

• 12 cm

The Pyramid of Giza is one of the largest pyramid structures still standing in Egypt. It is a right pyramid with a square base, a base length of 230 m, and height of 150 m. What is the volume in m³ ?

• 52900

• 2645000

• 2529000

• 2745000

The area of the base of the oblique pentagonal pyramid is 50 cm² and the distance from the apex to the center of the pentagon is 5 cm. The measure of side BC is 2 cm . What is the height AB and the volume of this pyramid ?

• AB = 5 cm Volume = 100 cm³

• AB = 3 cm Volume = 100 cm³

• AB = 2 cm Volume = 50 cm³

• AB = 3 cm Volume = 50 cm³