Ask question

Ask question

All categories

3 years ago

15

Mr. Riojas is building his children a sandbox that is shaped like a triangular prism. He uses 7-foot-long wooden beams for each

'side of the base. He measures the height of the triangular base to be 6.1 feet. If he makes the sandbox 1 foot tall, how much sand will he need to fill it?

1 answer:

Len [333]3 years ago

3 0

Answer:

21.35 $ft^{3}$

Step-by-step explanation:

It is given that the box is a triangular prism.

Side of Base of prism = 7 ft

Height of Base of prism = 6.1 ft

Area of a triangle is given as:

$B = \dfrac{1}{2} \times \text {Base} \times \text{Height}$

$\Rightarrow \dfrac{1}{2} \times 7 \times 6.1\\\Rightarrow 21.35\ ft^{2}$

Volume of a prism is:

$V = B \times h$

B is the area of base of prism

h is the height of prism

Here, h = 1 foot

So, V = 21.35 $\times$ 1

Volume of prism is = 21.35 $ft^{3}$

<em>Sand required to fill the triangular prism shape box is 21.35 </em> $ft^{3}$ .

You might be interested in

Please answer. In parallelogram WXYZ, diagonals WY and XZ intersect at point A. Give WA=x^2-48 and AY=x^2-6x. What is WY? Show y

netineya [11]

The diagonals of a parallelogram are congruent

The length WY is 32

<h3>How to determine the length WY</h3>

Given that:

$WA = x^2 - 48$ and

$AY = x^2 - 6x$

Then, we have:

$x^2 - 48 = x^2 - 6x$ diagonal

Subtract x^2 from both sides

$- 48 =- 6x$

Divide both sides by -6

$x = 8$

The length WY is calculated as:

$WY=2 * WA$

So, we have:

$WY=2 * [x^2 - 48]$

Substitute 8 for x

$WY=2 * [8^2 - 48]$

Simplify

$WY=32$

Hence, the length WY is 32

Read more about parallelograms at:

brainly.com/question/10062747

6 0

2 years ago

What is equivalent to 5 to the power of 2 divided by 5 to the power of 8

Travka [436]

390625 is the answer if I did it right

4 0

2 years ago

Enter the inequality of the graph below.

aev [14]

The slope is (8-2)/(0-2)=-3
the y intercept is 8
the equation is y=-3x+8
the area to the left is shaded, and the line is solid, so y $\leq$ -3x+8

4 0

3 years ago

A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 fee

Naddika [18.5K]

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle ( $A$ ), measured in square feet, is determined by the following equations:

$A = w\cdot l$ (1)

Where:

$w$ - Width, measured in feet.

$l$ - Length, measured in feet.

If we know that $w = x$ , $l = 2\cdot x$ and $A = 160\,ft^{2}$ , then we get the following second order polynomial:

$2\cdot x^{2}-160 = 0$ (1)

And we solve the expression for $x$ :

$2\cdot x^{2} = 160$

$x^{2} = 80$

$x = \sqrt{80}\,ft$

$x \approx 8.944\,ft$

Then, the dimensions of the pool are, respectively:

$w \approx 8.944\,ft$ and $l \approx 17.888\,ft$

5 0

3 years ago

The three methods used to classify costs into their fixed and variable components includes:_____.

Allushta [10]

Answer:

a. high-low method.

b. scatter diagrams.

d. least-squares regression.

Step-by-step explanation:

Costing is a measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

Fixed cost can be defined as predetermined expenses in a business that remain constant for a specific period of time regardless of the quantity of production or level of outputs. Some examples of fixed costs in business are loan payments, employee salary, depreciation, rent, insurance, lease, utilities etc.

On the other hand, variable costs can be defined as expenses that are not constant and as such usually change directly and are proportional to various changes in business activities. Some examples of variable costs are taxes, direct labor, sales commissions, raw materials, operational expenses etc.

In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.

The high-low method is a quick and easy way to estimate costs by using historical accounting information from a range of reporting periods.

A scatter diagram (scattergraph) estimate costs by considering all the data points and not just the lowest or highest point.

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

Generally, the sum of the residuals of a least squares regression line is always equal to zero.

4 0

3 years ago

Read 2 more answers