, 24.01.2020Princess14321

# Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm. a) 11,520 cm3 b) 23,040 cm3 c) 7,680 cm3 d) 768 cm3

volume = a^2(h/3)
a= 48 cm
h= 26 cm
Volume = 48^2 (26/3)
V=19968 cubic cm.
Hope that helped you
The volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm = 7,680cm^3
The volume of a square pyramid can be derived from the expression that the volume of an object is equal to the product of the area of the base times its height. For a square pyramid, it can be simplified as V = a^2(h)/3 where a is the side of the square base and h is the height. However, we are given the slant height. The equation would be:

V = a^2(h)/3

s^2 = (a/2)^2 + h^2     where s is the slant height
h = √( s^2 - (a/2)^2)
h = √( 26^2 - (48/2)^2)= 10

V = 48^2(10)/3 = 7680 cm^3 --> OPTION C
Firstly, write the stuffs you already know.

Length = Width = 48, Slant Height = 26.
You need to find Height of the pyramid.

Using Pythagoras Theory:
h = ✓26^2 - (48/2)^2
h = 10

Now apply the pyramid volume formula;
Volume = (Length×Width×Height)/3
Thus, v = (48^2 × 10)/3
v = 7680 cm^3

The correct answer is 7,680 cm3 :D

Option C is the correct answer.

Step-by-step explanation:

Let the base edge be b, slant height be s and perpendicular height be h.

We have

Here s = 26 cm and b = 48 cm

Substituting

Substituting

Option C is the correct answer.

Step-by-step explanation:

The volume of a pyramid is given by :-

Given: Slant height of the pyramid (l)= 26 cm

The base edge of the pyramid (s)=48 cm

Now, the height of the pyramid is given by :

Now, the volume of the square pyramid is given by :-

- C)

Explanation:-

Given: Base edge of square pyramid a= 48 cm

Slant height square pyramid l =26 cm

Let h be the height of the right pyramid

Thus,

The volume of square pyramid

Thus C is the right option.The volume of square pyramid=

The height of this pyramid will be:

√(26^2 - (48/2)^2) = 10cm

So the volume is: V = 1/3 * 48^2 * 10 = 7680 cm^3

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