Volume of Cylinders, Cones, and Spheres — Unit test Answers

A section of a rectangle is shaded to form a rhombus. The length of one side of the rectangle is 15, and the height is x.

An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greatest possible length of the longest side, rounded to the nearest tenth?

A section of a rectangle is shaded to form a trapezoid. The lengths of the 2 bases are 7 and x. The length of a side that forms a right angle with side x is 7.

Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

The diagonal of rectangle ABCD measures 2 inches in length.

A right triangle is shown. The length of the hypotenuse is 4 centimeters and the lengths of the other 2 sides are congruent.

The regular hexagon has a radius of 4 in.

The area of the regular pentagon is 6.9 cm2.

On a coordinate plane, parallelogram R S T U has points (negative 3, 2), (4, negative 1), (4, negative 4), and (negative 3, negative 1).

On a coordinate plane, triangle L M N has points (negative 1, 2), (negative 1, negative 4), and (3, negative 4).

On a coordinate plane, triangle A B C and parallelogram G H J K are shown. Triangle A B C has points (2, 0), (1, negative 6), (negative 2, negative 4). Parallelogram G H J K has points (0, 0), (1, 2), (negative 2, 4), and (negative 3, 2).

Joey is building a frame for a sandbox. The sandbox is going to be a quadrilateral that has the lengths shown.

The hypotenuse of a 45°-45°-90° triangle measures units.

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm.

Triangle V U W is shown. The length of side W V is 6 centimeters, the length of side W U is 3 StartRoot 3 EndRoot centimeters, and the length of side U V is 3 centimeters.

On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0).

A regular pentagon is shown.

On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, negative 3).

Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.