Area of Composite Figures — Unit test Answers

An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?

A trapezoid, square, and semicircle are connected to form a composite figure. Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters. Square A B C D has side lengths of 2 millimeters. Line A B is the diameter of the semicircle and has a length of 4 millimeters.

An area reserved for a parking lot is 80 feet long and 77 feet wide. The stalls of the lot are at 90° angles to two one-way aisles. Each aisle is 80 feet by 10 feet. The three areas set aside for the parking spaces are congruent rectangles.

3 shapes are combined to form a composite figure. A semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle.

If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options

Which statements are true? Select three options.

Trapezoid A B C D is shown. A diagonal is drawn from point B to point D. Sides B C and A D are parallel. Sides B A and C D are congruent. Angle C B D is 24 degrees and angle B A D is 116 degrees.

Which shape could be thought of as being created by stacking congruent polygons?

The volume of the triangular block is 4 cubic inches.

Every possible cross section of a three-dimensional figure is a circle. What is the figure?

A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded.

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.

The right triangular prism has a volume of 1,152 cm3.

An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units.What is the perpendicular height of the prism?

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm.

Which three-dimensional figure has double the number of edges as faces?

A composite figure is comprised of a square, trapezoid, and a rectangle. The square has side lengths of 10 centimeters. The trapezoid has base lengths of 8 centimeters and 14 centimeters. The height of the trapezoid is 4 centimeters. The rectangle has side lengths of 20 centimeters and 6 centimeters.

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. A state had 424 earthquakes over a given time span and a land area of 71,300 square miles.What is the seismic activity density for this state? Round to the nearest ten thousandth, if necessary.

Kite FGHK is shown.