Working with 3-D Shapes

Practice Questions

SAT Math › Working with 3-D Shapes

Questions
10
1

if a cube has a volume of , what is its total surface area?

2

Screen shot 2020 09 11 at 4.40.34 pm

Michael plans to decorate a rectangular wooden box (pictured above) by painting all exterior sides but the top, which he plans to keep open. What is the minimum number of square inches of paint needed?

3

A rectangular aquarium is feet high, feet long, and feet wide. If the aquarium is full of water, how many cubic feet of water are in the aquarium?

4

Cube A has a volume of cubic inches. if each side of Cube B is twice as long as each side of Cube A, then what is the volume of Cube B?

5

Screen shot 2020 09 11 at 4.41.44 pm

A right cylinder soda can has a height of and a radius of as pictured above. What is the total surface area of the cylinder?

6

If the width, depth and length of a rectangle box were each decreased by , by what percent would the volume of the box decrease?

7

A cube with a volume of cubic inches is inscribed within a sphere such that all vertices of the cube are on the sphere. What is the circumference of the sphere, in inches?

8

A rectangular label with an area of square inches. is wrapped around a can that is inches tall, such that the label exactly covers the outside of the can excluding the top and the bottom. What is the volume of the can, in cubic inches?

9

Screen shot 2020 09 11 at 4.58.32 pm

A chocolate box has a long triangular shape and the ends of the box form a 90-degree angle with the rest of the box. The triangular-shaped end piece is an equilateral triangle, the length of the box is inches, and the volume is . What is the value of in inches?

10

A trophy shop has been commissioned to create spherical trophies for a soccer tournament. Each spherical soccer trophy has a radius of 1 inch, while an actual regulation soccer ball has a radius of 4 inches. Which of the following expresses the ratio of the volume of the spherical trophy to the volume of the actual soccer ball?

Return to subject