Prism Worksheet

**Page 1**

1.

The base area of a rectangular prism is doubled. What happens to the volume of the rectangular prism, if the height remains same?

a. | decreases by 4 times | ||

b. | decreases by 2 times | ||

c. | increases by 2 times | ||

d. | increases by 3 times |

Correct answer : (3)

2.

By how much will the volume of a rectangular prism increase, if its length, width, and height are doubled?

a. | 4 times | ||

b. | 2 times | ||

c. | 6 times | ||

d. | 8 times |

Correct answer : (4)

3.

By how much will the volume of a rectangular prism increase, if its length is doubled?

a. | 2 times | ||

b. | 4 times | ||

c. | 8 times | ||

d. | 6 times |

Correct answer : (1)

4.

Keeping the radius constant, by how many times will the volume of a cylinder increase, if the height of the cylinder is increased 3 times?

a. | 9 times | ||

b. | 6 times | ||

c. | 27 times | ||

d. | 3 times |

Correct answer : (4)

5.

The radius of a cylinder is $r$ and its height is $h$. If the radius of the cylinder is increased by 5 times and its lateral area remains constant, what would be the height of the cylinder?

a. | $\frac{\mathrm{h}}{5}$ | ||

b. | $\frac{\mathrm{h}}{10}$ | ||

c. | 5$h$ | ||

d. | 10$h$ |

Correct answer : (1)

6.

Base radius of a cylinder is $r$ units and its height is $h$ units. The radius of the cylinder is increased by 5 times. What should be the height of the cylinder, if the lateral area remains the same?

a. | 5$h$ units | ||

b. | 6$h$ units | ||

c. | $\frac{h}{5}$ units | ||

d. | $\frac{h}{6}$ units |

Correct answer : (3)

7.

The capacity of a cylindrical well is 310.86 ft^{3}. Find its diameter, if its depth is 11 ft.

a. | 6 ft | ||

b. | 9 ft | ||

c. | 18 ft | ||

d. | 3 ft |

Correct answer : (1)

8.

What is the volume of water in the rectangular tank shown?

a. | 64 ft ^{3} | ||

b. | 45 ft ^{3} | ||

c. | 60 ft ^{3} | ||

d. | 48 ft ^{3} |

Correct answer : (4)

9.

What is the volume of the prism shown?

a. | 420 ft ^{3} | ||

b. | 112 ft ^{3} | ||

c. | 23 ft ^{3} | ||

d. | 64 ft ^{3} |

Correct answer : (2)

10.

Find the volume of the prism shown.

a. | 40 ft ^{3} | ||

b. | 36 ft ^{3} | ||

c. | 50 ft ^{3} | ||

d. | 60 ft ^{3} |

Correct answer : (2)