Surface Area and Volume Worksheet

**Page 2**

11.

How many cubes are in the letter 'C' as shown in the figure?

a. | 13 | ||

b. | 15 | ||

c. | 12 | ||

d. | 16 |

The number of cubes in the letter 'C' is 13.

Correct answer : (1)

12.

How many cubes are there in the letter 'B' as shown in the figure?

a. | 26 | ||

b. | 20 | ||

c. | 22 | ||

d. | 28 |

The number of cubes in the letter 'B' is 20.

Correct answer : (2)

13.

How many cubes are there in the letter 'E' as shown in the figure?

a. | 12 | ||

b. | 16 | ||

c. | 10 | ||

d. | 14 |

The number of cubes in the letter 'E' is 12.

Correct answer : (1)

14.

How many cubes are there in the letter 'F' as shown in the figure?

a. | 14 | ||

b. | 16 | ||

c. | 12 | ||

d. | 18 |

The number of cubes in the letter 'F' is 12.

Correct answer : (3)

15.

How many cubes are there in the letter 'T' as shown in the figure?

a. | 12 | ||

b. | 11 | ||

c. | 14 | ||

d. | 10 |

The number of cubes in the letter 'T' is 11.

Correct answer : (2)

16.

Identify a solid that has a volume of 32 cubic units.

a. | Figure 1 | ||

b. | Figure 3 | ||

c. | Figure 2 | ||

d. | Figure 4 |

For Figure 1, Volume V = 6 × 3 × 4 = 72 cubic units

For Figure 2, Volume V = 5 × 3 × 4 = 60 cubic units

For Figure 3, Volume V = 4 × 3 × 5 = 60 cubic units

For Figure 4, Volume V = 2 × 4 × 4 = 32 cubic units

Figure 4 represents a solid that has a volume of 32 cubic units.

Correct answer : (4)

17.

Find the volume of the solid.

a. | 9 cubic units | ||

b. | 27 cubic units | ||

c. | 16 cubic units | ||

d. | 18 cubic units |

Volume V = 4 × 1 × 4 = 16 cubic units

[

Volume of the given solid is 16 cubic units.

Correct answer : (3)

18.

Find the volume of a cube which has a side equal to 4 in .

a. | 68 in. ^{3} | ||

b. | 64 in. ^{3} | ||

c. | 66 in. ^{3} | ||

d. | None of the above |

= 4 × 4 × 4

[Substitute

= 64

[Multiply.]

So, the volume of the cube = 64 in.

Correct answer : (2)

19.

Find the volume of a box, which is in the form of a rectangular prism, with a length of 6 in. , a height of 3 in. and width of 5 in.

a. | 100 in. ^{3} | ||

b. | 95 in. ^{3} | ||

c. | 30 in. ^{3} | ||

d. | 90 in. ^{3} |

= 6 × 5 × 3

[Substitute the values.]

= 90 in.

[Multiply.]

So, the volume of the rectangular prism = 90 in.

Correct answer : (4)

20.

The length, width and height of a rectangular box are 8 in. , 6 in. and 7 in. respectively. What is its volume?

a. | 346 in. ^{3} | ||

b. | 331 in. ^{3} | ||

c. | 336 in. ^{3} | ||

d. | 56 in. ^{3} |

= 8 × 6 × 7

[Substitute the values.]

= 336 in.

[Multiply.]

So, the volume of the rectangular box is 336 in.

Correct answer : (3)