Mathematics, 12.11.2019 04:31, nayelidlc2

Apyramid has a square base with side s. the height of the pyramid is 2/3 that of its side. what is the expression for the volume of the pyramid?

Answers: 1

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I think the height is 2/3 that of a side of the base. If that is correct, then the height is h = 2/3s.

The formula for the volume of a pyramid is \[V=\frac{ 1 }{ 3 }s ^{2}h\]

Normally it would be B for base area, but since this is a square and the height is in terms of s, that would be the formula.

If we find the area based on the fact that h = 2/3s, then it appears that the formula would be

V=1/3s^2 x 2/3s

If you multiply that all out, it would be V= 2 / 9s ^3

Answered: cbear5626

The required expression for the volume of pyramid is $V=\frac{2s^3}{9}$

Step-by-step explanation:

Consider the provided information.

A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side.

The volume of pyramid is: $V=\frac{lwh}{3}$

Where, l is base length, w is base width and h is the height.

It is given that the base is square therefore, l=s and w=s.

The height of pyramid is $\frac{2}{3}s$

Substitute the respective values in the above formula.

$V=\frac{s\times s\times \frac{2s}{3}}{3}$

$V=\frac{2s^3}{9}$

Hence, the required expression for the volume of pyramid is $V=\frac{2s^3}{9}$

Answered: kathrynway2715

$\large\boxed{V=\dfrac{2}{9}s^3}$

Step-by-step explanation:

$\text{The formula of a volume of a pyramid:}\\\\V=\dfrac{1}{3}BH\\\\B-base\ area\\H-height\\\\\text{The base of the pyramid os athe square with side length}\ s.\\\text{Therefore the base area}\ B=s^2.\\\\\text{The height of the pyramid is}\ \dfrac{2}{3}\ \text{that of it's side:}\ H=\dfrac{2}{3}s.\\\\\text{Substitute:}\\\\V=\dfrac{1}{3}(s^2)\left(\dfrac{2}{3}s\right)=\dfrac{2}{9}s^3$

Answered: zylandriawilliams

correct choice is option d v=2/9*s^3

Step-by-step explanation:

volume of pyramid is given by 1/3(Area of base* height)

Given base of pyramid is square with length of each side s

area of square is given by side^2

Thus, area of base of pyramid = s^2

Height of pyramid = 2/3 of side of base of pyramid = 2/3* s = 2s/3

Therefore volume of pyramid = 1/3(area of base of pyramid *Height of pyramid)

= 1/3(s^2*2s/3)

= 2/9*s^3

Thus, correct choice is option d v=2/9*s^3

Answered: anarosa52505pdizws

The correct option is option D

Step-by-step explanation:

The volume of a pyramid is:

V=1/3(B)(H)

Where

B:Base = s^2

H:Height = 2/3s

Then:

V=1/3(B)(H) = 1/3(s^2)(2/3s) = 2/9s^3

The correct option is option D

Answered: kaitlynn73

V = (2/9)s³

Step-by-step explanation:

The general formula for the volume of a pyramid is:

V = (1/3)(base area)(height).

Here, the length of a side of the square base is s, and so the area is A = s². For the height we use (2/3)s. Then the volume of the pyramid is:

V = (1/3)(s²)(2/3)s, or V = (2/9)s³

Answered: DeborahMonde

Volume Pyramid = base2 * height÷3
Volume Pyramid = s2 * 1/3s÷3

Answered: Visitor

i believe the answer is 68cm

step-by-step explanation:

i just took 34 x 2 because the space between v and y is the same as y to k.

What is the value of x? enter your answer in the box

Answered: Visitor

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)

Find the measure of the missing angle pls me plsssss

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Apyramid has a square base with side s. the height of the pyramid is 2/3 that of its side. what is t...