ACT Math - Other Polyhedrons

1

A cube has a surface area of $150\textup{m}^2$ . What is its volume?

2

A cube has a surface area of $150\textup{m}^2$ . What is its volume?

3

A pyramid is placed inside a cube so that they share a base and height. If the surface area of the cube is $486\textup{ft}^{2}$ , what is the volume of the pyramid, in square feet?

4

A pyramid is placed inside a cube so that they share a base and height. If the surface area of the cube is $486\textup{ft}^{2}$ , what is the volume of the pyramid, in square feet?

5

Roberto has a swimming pool that is in the shape of a rectangular prism. His swimming pool is meters wide, meters long, and meters deep. He needs to fill up the pool for summer, and his hose fills at a rate of cubic meters per hour. How many hours will it take for Roberto to fill up the swimming pool?

6

Roberto has a swimming pool that is in the shape of a rectangular prism. His swimming pool is meters wide, meters long, and meters deep. He needs to fill up the pool for summer, and his hose fills at a rate of cubic meters per hour. How many hours will it take for Roberto to fill up the swimming pool?

7

The surface area of a cylinder is given by $2\pi rh+2\pi r^{2}$ , where is the radius and is the height. If a cylinder has a surface area of $20\pi$ $cm^{2}$ and a height of , what is its radius?

8

The surface area of a cylinder is given by $2\pi rh+2\pi r^{2}$ , where is the radius and is the height. If a cylinder has a surface area of $20\pi$ $cm^{2}$ and a height of , what is its radius?

9

Susan bought a chocolate bar that came in a container shaped like a triangular prism shown below. If the container is completely filled with chocolate, in cubic inches, what volume of chocoate did Susan buy?

10

Susan bought a chocolate bar that came in a container shaped like a triangular prism shown below. If the container is completely filled with chocolate, in cubic inches, what volume of chocoate did Susan buy?

Other Polyhedrons

Practice Questions