Special Parallelograms — Unit test Answers

The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2.What is the surface area of the smaller solid?

A square pyramid has a base side length of 20.4 cm and a height of 18.2 cm. Which square pyramid is similar?

The radius of the large sphere is three times longer than the radius of the small sphere.

A cube has an edge length of 9 centimeters.

A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is 10.2 centimeters. Which triangular prism is similar to the described prism?

The two triangular prisms shown are similar.

A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?

A box in the shape of a rectangular prism, with dimensions 12 inches by 18 inches by 12 inches, can hold exactly 12 cubes measuring 6 inches on each side. If the length and width of the base are doubled, how many cubes could the new box hold?

A shipping box in the shape of a cube has an edge length of 8 inches. It can hold 8 mugs with no extra space between them.

The volume of a triangular prism is increased by a factor of 8.By what factor is the surface area of the figure increased?