The base edge of an oblique square pyramid is represented as x cm. If the height is 9 cm, what is the volume of the pyramid in terms of x?
3x2 cm3
9x2 cm3
3x cm3
x cm3

Respuesta :

Answer:

Hence, the volume of pyramid is:

3x^2 cm^3

Step-by-step explanation:

We know that a volume(V) of a oblique square pyramid with height 'h' and base area A is given by the help of formula:

[tex]V=\dfrac{1}{3}\times (Ah)[/tex]

Now, according to the ques we have:

The base edge of an oblique square pyramid is represented as x cm.

The height is 9 cm.

Hence, the base area (A) is calculated as:

[tex]A=x^2[/tex]

( Since the base is in the shape of a square and we know that the area of square with side length s is given as:

[tex]Area=s^2[/tex] )

So, the volume of the pyramid is calculated as:

[tex]V=\dfrac{1}{3}\times (x^2\times 9)\\\\V=3x^2 \ cm^3[/tex]

Hence, the volume of pyramid is:

3x^2 cm^3

A pyramid is a solid shape with several triangles and a base. The volume of the pyramid in terms of x is 3x^2 cm3

How to calculate the volume of a pyramid?

The volume(V) of an oblique square pyramid with height 'h' and base area A is expressed according to the formula:

V = Bh/3

B is the base area = x * x = x^2

h is the height = 9cm

Substitute

V = x^2*9/3

V = 3x^2cubic cm

Hence the volume of the pyramid in terms of x is 3x^2 cm3

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