Changing Dimensions of 3-D Figures — Quiz Answers

The surface area of a rectangular prism is increased by a factor of 16. By what factor is the volume of the figure increased?

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

Two similar pyramids have base areas of 12 point 2 cm squared and 16 cm squared The surface area of the larger pyramid is 56 cm squared What is the surface area of the smaller pyramid?

Two spheres have volumes of 8 pi cm cubed and 64 pi cm cubed If the surface area of the smaller sphere is 16 pi cm squared , what is the surface area of the larger sphere?

Cylinders cap A and cap b are similar solids. The base of cylinder cap A has a circumference of 4 pi units. The base of cylinder cap b has an area of 9 pi units. The dimensions of cylinder cap A are multiplied by what factor to produce the corresponding dimensions of cylinder cap b ?

A triangular prism has an equilateral base with each side of the triangle measuring 8 point 4 centimeters. The height of the prism is 10 point 2 centimeters. Which triangular prism is similar to the described prism?

Two similar cylinders have surface areas of 24 pi cm squared and 54 pi cm squared The volume of the smaller cylinder is 16 pi cm cubed What is the volume of the larger cylinder?

A square pyramid has a base side length of 20 point 4 cm and a height of 18 point 2 cm. Which square pyramid is similar?

A rectangular prism has a length of 4 point 2 cm, a width of 5 point 8 cm, and a height of 9 point 6 cm. A similar prism has a length of 14 point 7 cm, a width of 20 point 3 cm, and a height of 33 point 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?

When the large prism was reduced, the surface area changed by a factor of

What is the area of the base of the smaller prism, rectangle ABCD ?

If the side length is increased by a factor of 3 , how much larger is the perimeter of a face of the new cube?

If the dimensions of the shipping box are all doubled, what is the maximum number of mugs that the larger box can hold?

What is the volume of the larger prism?

A square pyramid has a base side length of 20 point 4 cm and a height of 18 point 2 cm. Which square pyramid is similar?

A rectangular prism has a length of 4 point 2 cm, a width of 5 point 8 cm, and a height of 9 point 6 cm. A similar prism has a length of 14 point 7 cm, a width of 20 point 3 cm, and a height of 33 point 6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?

The volumes of two similar solids are 210 m cubed and 1 comma 680 m cubed The surface area of the larger solid is 856 m squared What is the surface area of the smaller solid?

A triangular prism has an equilateral base with each side of the triangle measuring 8 point 4 centimeters. The height of the prism is 10 point 2 centimeters. Which triangular prism is similar to the described prism?

How many times the volume of the large sphere is the volume of the small sphere?