Question

# Find and simplify the ratio of the volume of Figure A to the Volume of Figure B.

Hint:

### Volume of a cuboid is given by:

.

We are asked to find the ration of the volume of figure A to figure B.

## The correct answer is: 3 (x + 1)/2 (x + 2)

### Step 1 of 2:

The given figures are cuboid. The volume of a cuboid is, , where l,b and h are length, breadth and the height of the cuboid.

For figure A:

For figure B:

Step 2 of 2:

Now, find the ratio of the found volume of the figure A to figure B. Thus, we have:

Ratio between two values can be written as .

### Related Questions to study

### Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 . 25 cm. of gold ribbon , does he have enough to decorate the top of the box ?

The volume formula is a mathematical expression that can be used to calculate the total amount of space (vacuum) occupied by any three-dimensional object.

The volume of an object is the amount of three-dimensional space occupied by the object or shape. It is typically measured in cubic units. In other words, the volume of any object or container is its ability to hold the amount of fluid (gas or liquid). Using arithmetic formulas, the volume of three-dimensional mathematical shapes such as the cube, cuboid, cylinder, prism, and cone, among others, can be easily calculated.**Cuboid Formula**

**V = l × w × h**

l represent Length

w represent Width

h represent Height

### Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 . 25 cm. of gold ribbon , does he have enough to decorate the top of the box ?

The volume formula is a mathematical expression that can be used to calculate the total amount of space (vacuum) occupied by any three-dimensional object.

The volume of an object is the amount of three-dimensional space occupied by the object or shape. It is typically measured in cubic units. In other words, the volume of any object or container is its ability to hold the amount of fluid (gas or liquid). Using arithmetic formulas, the volume of three-dimensional mathematical shapes such as the cube, cuboid, cylinder, prism, and cone, among others, can be easily calculated.**Cuboid Formula**

**V = l × w × h**

l represent Length

w represent Width

h represent Height

### Determine whether the Quotient represents a rational number **or an irrational number . Explain how you know without simplifying.**

**Determine whether the Quotient represents a rational number ****or an irrational number . Explain how you know without simplifying.**

**Determine whether the Quotient represents a rational number**

**or an irrational number . Explain how you know without simplifying.**

**Maths-General**

**Maths-Maths-GeneralMaths-**### Determine whether the Product represents a rational number or

### Find the product and give the domain of

### Find the product and give the domain of

### Determine whether the Product represents a rational number or **an irrational number . Explain how you know without simplifying.**

**Determine whether the Product represents a rational number or ****an irrational number . Explain how you know without simplifying.**

**Determine whether the Product represents a rational number or**

**an irrational number . Explain how you know without simplifying.**

**Maths-General****Maths-**### Determine whether the sum represents a rational number or an

### Determine whether the sum represents a rational number or an **irrational number . Explain how you know without simplifying .**

**Determine whether the sum represents a rational number or an ****irrational number . Explain how you know without simplifying .**

**Determine whether the sum represents a rational number or an**

**irrational number . Explain how you know without simplifying .**

**Maths-General****Maths-**### Order the numbers shown from the least to greatest ?

### Order the numbers shown from the least to greatest ?

Maths-GeneralMaths-Maths-GeneralMaths-### Order the numbers shown from the least to greatest ?

### Order the numbers shown from the least to greatest ?

Maths-GeneralMaths-### Recognize the following numbers as real numbers , rational

### Order the numbers shown from the least to greatest ?

### Order the numbers shown from the least to greatest ?

### What is the simplified form of the rational expression ? What is its domain?

### What is the simplified form of the rational expression ? What is its domain?

### Order the numbers shown from the least to greatest ?

### Order the numbers shown from the least to greatest ?

### Recognize the following numbers as real numbers , rational **numbers , irrational numbers , integers ,whole numbers :**

**Recognize the following numbers as real numbers , rational ****numbers , irrational numbers , integers ,whole numbers :**

**Recognize the following numbers as real numbers , rational**

**numbers , irrational numbers , integers ,whole numbers :**

**Maths-General****Maths-**### Tell whether each statement is true , sometimes true or never

### Tell whether each statement is true , sometimes true or never

Maths-GeneralMaths-### Identify each solution as rational or irrational :

### Identify each solution as rational or irrational :

Maths-GeneralMaths-### Identify each solution as rational or irrational :

### Identify each solution as rational or irrational :

Maths-GeneralMaths-Maths-GeneralMaths-### Order each set of numbers from least to greatest,

### Order each set of numbers from least to greatest,

Maths-GeneralMaths-### Determine whether set B is a subset of set A?

### Determine whether set B is a subset of set A?

Maths-General### Tell whether each statement is true , sometimes true or never

true . Explain.

1. A rational number is an integer

2. An irrational number is an integer

### Tell whether each statement is true , sometimes true or never

true . Explain.

1. A rational number is an integer

2. An irrational number is an integer

### Identify each solution as rational or irrational :

.

### Identify each solution as rational or irrational :

.

### Identify each solution as rational or irrational :

### Identify each solution as rational or irrational :

### Order each set of numbers from least to greatest ,

### Order each set of numbers from least to greatest ,

### Order each set of numbers from least to greatest,

### Order each set of numbers from least to greatest,

### Determine whether set B is a subset of set A?

A= {2, 3, 5, 7, 11}

B= { 3, 5, 7, 9, 11}

### Determine whether set B is a subset of set A?

A= {2, 3, 5, 7, 11}

B= { 3, 5, 7, 9, 11}

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