Question

If the volume of square pyramid is 576 cu cm.
the find volume of cube of same height? ​

Answer 1

Answer:

.......sorry.........

Answer 2

Given:

If the volume of a square pyramid is 576 cubic cm.

To find:

The volume of a cube of the same height

Solution:

We know,

$\boxed{\bold {Volume\:a\:square\:pyramid = \frac{1}{3}a^2 h} }$

where

a = base edge

h = height

∴ $\frac{1}{3}a^2 h} = 576$

$\implies a^2 h =576 \times 3$

$\implies a^2 h =1728$ ..... (i)

Let's assume "a" represents the side of the cube.

We are given that,

Height of the square pyramid "h" = Height of the cube "a" .... (ii)

Therefore, from (i) & (ii), we get

$\implies a^2 \times a =1728$

$\implies a^3 =1728$

since we know that volume of a cube = side³ = a³

$\implies \bold{Volume \:of\: the\: cube =1728\:cm^3}$

Thus, the volume of the cube of the same height is → 1728 cm³.

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