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3 years ago

A prism has an volume of 8 yd3. What is its volume in ft3?

Mathematics

2 answers:

andrey2020 [161]3 years ago

7 0

Answer:

24ft^3

Step-by-step explanation:

Since there are 3 feet in a yard, times 8 by 3 to get your answer!

8 x 3= 24 so 24ft^3

Kaylis [27]3 years ago

3 0

8x3=24 ft3 3 feet are in a yard.

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Find the volume of this figure.

Bogdan [553]

Answer:

The volume of the figure is $320\ units^{3}$

Step-by-step explanation:

we know that

The figure is a pyramid

The volume of a pyramid is equal to

$V=(1/3)BH$

where

B is the area of the rectangular base of pyramid

H is the height of pyramid

Find the area of the base B

The area of the base B is equal to

$B=AB*AC$

we have that

$AB=8\ units$ ---> see the graph

$AC=10\ units$ ---> see the graph

substitute

$B=8*10=80\ units^{2}$

we have

$H=EF=12\ units$ ---> see the graph

Find the volume

$V=(1/3)(80*12)=320\ units^{3}$

4 0

3 years ago

Solve 3x - x + 2 = 12

Anna11 [10]

Remember you can do anything to an equation as long as you do it to both sides (except divide by 0)

add like terms
3x-x=3x-1x=2x

so
3x-x+2=12
2x+2=12
subtract 2 from both sides
2x=10
divide both sides by 2
x=5

7 0

3 years ago

What is the perimeter of the triangle?

Angelina_Jolie [31]

The perimeter is 30 units

6 0

3 years ago

35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.

Montano1993 [528]

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as $y=-\frac{1}{3} x-\frac{26}{3}$ .

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $6 \& 8$ for $y_{2}$ and $y_{1}$ respectively, and 4&-2 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{6-8}{4-(-2)}$

$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-2 for $x_{1}$ , and 8 for $y_{1}$ in the above equation and simplify using the distributive property as follows, $y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$$