Area and Volume Worksheet

**Page 1**

1.

Find the area of the design made by Michelle.

a. | 4 square feet | ||

b. | 5 square feet | ||

c. | 6 square feet | ||

d. | 2 square feet |

Total shaded cells = 2 + ( 4 ×

Area of shaded region = Number of cells in the shaded region × Area of each cell in the grid

[Substitute the values.]

= 4 × 1 = 4 square feet.

[Given area of each shaded cell = 1 square feet.]

Correct answer : (1)

2.

If the area of each cell in the grid is 1 square unit, what is the area of the non-shaded region in the figure?

a. | 64 square units | ||

b. | 4 square units | ||

c. | 40 square units | ||

d. | 24 square units |

Area of the shaded region = Number of cells in the shaded region × Area of each cell in the grid

[There are 40 shaded cells in the grid.]

= 40 × 1

[Substitute the values.]

= 40

[Multiply.]

The area of the shaded region in the figure is 40 square units.

Therefore, Area of non-shaded region = 64 - 40 = 24 square units.

[Total number of cells = 64.]

Correct answer : (4)

3.

The area of each cell in the grid is 1 square unit. Find the area of the shaded region.

a. | 32 units | ||

b. | 32 square units | ||

c. | 36 square units | ||

d. | 28 square units |

Area of the shaded region = 36 × area of each cell in the grid

= 36 × 1

[Substitute the area of each cell with 1.]

= 36

[Multiply.]

The area of the shaded region in the figure is 36 square units.

Correct answer : (3)

4.

The area of each cell on the grid is 1 square unit. Find the area of the shaded rectangle.

a. | 15 square units | ||

b. | 16 units | ||

c. | 12 square units | ||

d. | 14 square units |

Area of the shaded rectangle = 12 × area of each cell in the grid

= 12 × 1

[Substitute the area of each cell with 1.]

= 12

[Multiply.]

The area of the shaded rectangle in the figure is 12 square units.

Correct answer : (3)

5.

The area of each cell on the grid is 1 square unit. Find the area of the shaded region.

a. | 16 square units | ||

b. | 10 square units | ||

c. | 15 square units | ||

d. | 12 units |

Area of the shaded region = 10 × area of each cell in the grid

= 10 × 1

= 10

[Multiply.]

The area of the shaded region in the figure is 10 square units.

Correct answer : (2)

6.

The area of each cell in the grid is 1 square unit. Find the area of the shaded region.

a. | 16 units | ||

b. | 10 square units | ||

c. | 20 square units | ||

d. | 4 square units |

Area of the shaded region = 10 × area of each cell in the grid

= 10 × 1

[Substitute the area of each cell with 1.]

= 10

[Multiply.]

The area of the shaded region in the figure is 10 square units.

Correct answer : (2)

7.

Find the area of the shaded region shown, if the area of each cell in the grid is 1 square unit.

a. | 10 square units | ||

b. | 12 square units | ||

c. | 9 square units | ||

d. | 7 square units |

Area of shaded region = 10 × area of each cell in the grid

= 10 × 1

= 10

The area of the shaded region in the figure is 10 square units.

Correct answer : (1)

8.

What could be the volume of the following shape?

a. | 4 cubic units | ||

b. | 9 cubic units | ||

c. | 6 cubic units | ||

d. | 8 cubic units |

Volume = 8 × 1 cubic unit = 8 cubic units.

Correct answer : (4)

9.

Find the area of the shaded region.

a. | 10 square units | ||

b. | 11 square units | ||

c. | 9 square units | ||

d. | 12 square units |

[Count the number of shaded squares in the grid.]

Since the area of each square is 1 square unit, area of 11 squares = 11 × 1 = 11 square units.

So, the area of the shaded region is 11 square units.

Correct answer : (2)

10.

Find the area of the shaded region.

a. | 13 square units | ||

b. | 12 square units | ||

c. | 11 square units | ||

d. | 10 square units |

[Count the number of shaded squares in the grid.]

Since the area of each square is 1 square unit, area of 10 squares = 10 × 1 = 10 square units.

So, the area of the shaded region is 10 square units.

Correct answer : (4)