Question

the volume of the cube is 1728 cubic cm find the volume of square pyramid of the same height

Answer 1

volume of the cube = 1728 cm³

side of cube = ∛1728 = 12

2.

volume of square pyramid = a²*h/3

a² = 12*12

h = 12

144*12/3 = 576 cm³

∴ the volume of the square pyramid is 576 cm³

Answer 2

Answer: The volume of square pyramid of the same height is 576 cubic cm.

Step-by-step explanation:

Since we have given that

Volume of cube = 1728 cubic cm

As we know that the formula for volume of cube.

$a^3=1728\\\\a=\sqrt[3]{1728}\\\\a=12$

We need to find the volume of square pyramid of the same height.

So, volume of square pyramid is given by

$\dfrac{1}{3}\times\text{Area of base}\times height\\\\=\dfrac{1}{3}\times 12^2\times 12\\\\=\dfrac{1728}{3}\\\\=576\ cm^3$

Hence, the volume of square pyramid of the same height is 576 cubic cm.