Geometry - 6th Grade Math

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Question

What is the area of the right triangle in the following figure?

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Answer

In order to solve this problem, we need to recall the formula for area of a right triangle:

$A=\frac{1}{2}$(l\times w)$ or $A=\frac{l\times w}{2}$$

Now we can substitute in our side lengths from the question:.

$A=\frac{13\times9}{2}$$

$A=\frac{117}{2}$$

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Question

What is the volume of the rectangular prism in the following figure?

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Answer

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=3$\frac{1}{2}$\times4\times10$

$A=140\textup{ $cm}^3$$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

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Question

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is $$\frac{3}{4}$\textup{ miles}$ in length and occupies an area of $\frac{1}{2}$\textup{ $miles}^2$ . How wide is this particular site?

Tap to reveal answer

Answer

In order to solve this question, we need to first recall how to find the area of a rectangle.

$\text{Area}$=$\text{Length}$ \times $\text{Width}$

Substitute in the given values in the equation and solve for $\text{Width}$ .

$$\frac{1}{2}$\ $miles^2$=\frac{3}{4}$\ miles\times Width$

Divide both sides by $$\frac{3}{4}$\ miles$

$$\frac{\frac{1}{2}$\ $miles^2$}{$\frac{3}{4}$\ miles}=\frac{\frac{3}{4}$\ miles \times Width}{$\frac{3}{4}$\ miles}$

Dividing by a fraction is the same as multiplying by its inverse or reciprocal.

Find the reciprocal of $$\frac{3}{4}$\ miles$

$$\frac{3}{4}$\ miles\rightarrow $\frac{4}{3}$\ miles$

Simplify and rewrite.

$Width=\frac{4}{3}$ \times $\frac{1}{2}$$

Multiply and solve.

$Width=\frac{4}{6}$$

Reduce.

$Width=\frac{2}{3}$\ miles$

The width of the fracking site is

← Didn't Know|Knew It →

Question

What is the area of the right triangle in the following figure?

Tap to reveal answer

Answer

In order to solve this problem, we need to recall the formula for area of a right triangle:

$A=\frac{1}{2}$(l\times w)$ or $A=\frac{l\times w}{2}$$

Now we can substitute in our side lengths from the question:.

$A=\frac{13\times9}{2}$$

$A=\frac{117}{2}$$

← Didn't Know|Knew It →

Question

What is the volume of the rectangular prism in the following figure?

Tap to reveal answer

Answer

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=3$\frac{1}{2}$\times4\times10$

$A=140\textup{ $cm}^3$$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

← Didn't Know|Knew It →

Question

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is $$\frac{3}{4}$\textup{ miles}$ in length and occupies an area of $\frac{1}{2}$\textup{ $miles}^2$ . How wide is this particular site?

Tap to reveal answer

Answer

In order to solve this question, we need to first recall how to find the area of a rectangle.

$\text{Area}$=$\text{Length}$ \times $\text{Width}$

Substitute in the given values in the equation and solve for $\text{Width}$ .

$$\frac{1}{2}$\ $miles^2$=\frac{3}{4}$\ miles\times Width$

Divide both sides by $$\frac{3}{4}$\ miles$

$$\frac{\frac{1}{2}$\ $miles^2$}{$\frac{3}{4}$\ miles}=\frac{\frac{3}{4}$\ miles \times Width}{$\frac{3}{4}$\ miles}$

Dividing by a fraction is the same as multiplying by its inverse or reciprocal.

Find the reciprocal of $$\frac{3}{4}$\ miles$

$$\frac{3}{4}$\ miles\rightarrow $\frac{4}{3}$\ miles$

Simplify and rewrite.

$Width=\frac{4}{3}$ \times $\frac{1}{2}$$

Multiply and solve.

$Width=\frac{4}{6}$$

Reduce.

$Width=\frac{2}{3}$\ miles$

The width of the fracking site is

← Didn't Know|Knew It →

Question

What is the area of the right triangle in the following figure?

Tap to reveal answer

Answer

In order to solve this problem, we need to recall the formula for area of a right triangle:

$A=\frac{1}{2}$(l\times w)$ or $A=\frac{l\times w}{2}$$

Now we can substitute in our side lengths from the question:.

$A=\frac{13\times9}{2}$$

$A=\frac{117}{2}$$

← Didn't Know|Knew It →

Question

What is the volume of the rectangular prism in the following figure?

Tap to reveal answer

Answer

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=3$\frac{1}{2}$\times4\times10$

$A=140\textup{ $cm}^3$$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

← Didn't Know|Knew It →

Question

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is $$\frac{3}{4}$\textup{ miles}$ in length and occupies an area of $\frac{1}{2}$\textup{ $miles}^2$ . How wide is this particular site?

Tap to reveal answer

Answer

In order to solve this question, we need to first recall how to find the area of a rectangle.

$\text{Area}$=$\text{Length}$ \times $\text{Width}$

Substitute in the given values in the equation and solve for $\text{Width}$ .

$$\frac{1}{2}$\ $miles^2$=\frac{3}{4}$\ miles\times Width$

Divide both sides by $$\frac{3}{4}$\ miles$

$$\frac{\frac{1}{2}$\ $miles^2$}{$\frac{3}{4}$\ miles}=\frac{\frac{3}{4}$\ miles \times Width}{$\frac{3}{4}$\ miles}$

Dividing by a fraction is the same as multiplying by its inverse or reciprocal.

Find the reciprocal of $$\frac{3}{4}$\ miles$

$$\frac{3}{4}$\ miles\rightarrow $\frac{4}{3}$\ miles$

Simplify and rewrite.

$Width=\frac{4}{3}$ \times $\frac{1}{2}$$

Multiply and solve.

$Width=\frac{4}{6}$$

Reduce.

$Width=\frac{2}{3}$\ miles$

The width of the fracking site is

← Didn't Know|Knew It →

Question

What is the area of the right triangle in the following figure?

Tap to reveal answer

Answer

In order to solve this problem, we need to recall the formula for area of a right triangle:

$A=\frac{1}{2}$(l\times w)$ or $A=\frac{l\times w}{2}$$

Now we can substitute in our side lengths from the question:.

$A=\frac{13\times9}{2}$$

$A=\frac{117}{2}$$

← Didn't Know|Knew It →

Question

What is the volume of the rectangular prism in the following figure?

Tap to reveal answer

Answer

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=3$\frac{1}{2}$\times4\times10$

$A=140\textup{ $cm}^3$$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

← Didn't Know|Knew It →

Question

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is $$\frac{3}{4}$\textup{ miles}$ in length and occupies an area of $\frac{1}{2}$\textup{ $miles}^2$ . How wide is this particular site?

Tap to reveal answer

Answer

In order to solve this question, we need to first recall how to find the area of a rectangle.

$\text{Area}$=$\text{Length}$ \times $\text{Width}$

Substitute in the given values in the equation and solve for $\text{Width}$ .

$$\frac{1}{2}$\ $miles^2$=\frac{3}{4}$\ miles\times Width$

Divide both sides by $$\frac{3}{4}$\ miles$

$$\frac{\frac{1}{2}$\ $miles^2$}{$\frac{3}{4}$\ miles}=\frac{\frac{3}{4}$\ miles \times Width}{$\frac{3}{4}$\ miles}$

Dividing by a fraction is the same as multiplying by its inverse or reciprocal.

Find the reciprocal of $$\frac{3}{4}$\ miles$

$$\frac{3}{4}$\ miles\rightarrow $\frac{4}{3}$\ miles$

Simplify and rewrite.

$Width=\frac{4}{3}$ \times $\frac{1}{2}$$

Multiply and solve.

$Width=\frac{4}{6}$$

Reduce.

$Width=\frac{2}{3}$\ miles$

The width of the fracking site is

← Didn't Know|Knew It →

Knew It

Geometry - 6th Grade Math

What is the area of the right triangle in the following figure?

In order to solve this problem, we need to recall the formula for area of a right triangle: or Now we can substitute in our side lengths from the question:.

What is the volume of the rectangular prism in the following figure?

The formula used to find volume of a rectangular prism is as follows: Substitute our side lengths: Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is in length and occupies an area of . How wide is this particular site?

What is the area of the right triangle in the following figure?

In order to solve this problem, we need to recall the formula for area of a right triangle: or Now we can substitute in our side lengths from the question:.

What is the volume of the rectangular prism in the following figure?

The formula used to find volume of a rectangular prism is as follows: Substitute our side lengths: Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is in length and occupies an area of . How wide is this particular site?

What is the area of the right triangle in the following figure?

In order to solve this problem, we need to recall the formula for area of a right triangle: or Now we can substitute in our side lengths from the question:.

What is the volume of the rectangular prism in the following figure?

The formula used to find volume of a rectangular prism is as follows: Substitute our side lengths: Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is in length and occupies an area of . How wide is this particular site?

What is the area of the right triangle in the following figure?

In order to solve this problem, we need to recall the formula for area of a right triangle: or Now we can substitute in our side lengths from the question:.

What is the volume of the rectangular prism in the following figure?

The formula used to find volume of a rectangular prism is as follows: Substitute our side lengths: Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is in length and occupies an area of . How wide is this particular site?

In order to solve this problem, we need to recall the formula for area of a right triangle:

$A=\frac{1}{2}$(l\times w)$ or $A=\frac{l\times w}{2}$$

Now we can substitute in our side lengths from the question:.

$A=\frac{13\times9}{2}$$

$A=\frac{117}{2}$$

In order to solve this problem, we need to recall the formula for area of a right triangle:

$A=\frac{1}{2}$(l\times w)$ or $A=\frac{l\times w}{2}$$

Now we can substitute in our side lengths from the question:.

$A=\frac{13\times9}{2}$$

$A=\frac{117}{2}$$

In order to solve this problem, we need to recall the formula for area of a right triangle:

$A=\frac{1}{2}$(l\times w)$ or $A=\frac{l\times w}{2}$$

Now we can substitute in our side lengths from the question:.

$A=\frac{13\times9}{2}$$

$A=\frac{117}{2}$$

In order to solve this problem, we need to recall the formula for area of a right triangle:

$A=\frac{1}{2}$(l\times w)$ or $A=\frac{l\times w}{2}$$

Now we can substitute in our side lengths from the question:.

$A=\frac{13\times9}{2}$$

$A=\frac{117}{2}$$