What is the volume (in cm^{3}) of a right pyr | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The diagonal of the square base is given as $d = 6\sqrt{2}\, cm$.Since the diagonal of a square with side $a$ is $d = a\sqrt{2}$,we have $a\sqrt{2

Vedclass · Accepted Answer

$144$

Vedclass · Answer

(C) The diagonal of the square base is given as $d = 6\sqrt{2}\, cm$.Since the diagonal of a square with side $a$ is $d = a\sqrt{2}$,we have $a\sqrt{2} = 6\sqrt{2}$,which gives $a = 6\, cm$.The area of the square base is $A = a^{2} = 6^{2} = 36\, cm^{2}$.The volume $V$ of a pyramid is given by the formula $V = \frac{1}{3} 	imes 	ext{Area of base} 	imes 	ext{height}$.Substituting the given values,$V = \frac{1}{3} 	imes 36 	imes 12$.$V = 12 	imes 12 = 144\, cm^{3}$.

What is the volume (in $cm^{3}$) of a right pyramid of height $12\, cm$ and having a square base whose diagonal is $6\sqrt{2}\, cm$?

Similar Questions

There is a wooden sphere of radius $6 \sqrt{3} \text{ cm}$. The surface area of the largest possible cube cut out from the sphere will be:

The diagonal of a cubical box is $\sqrt{300} \text{ cm}$. Find out the surface area.

How many cubes of $10\, cm$ edge can be put in a cubical box of $1\, m$ edge?

The volume of a conical tent is $1232 \, m^3$ and the area of its base is $154 \, m^2$. Find the length of the canvas required to build the tent,if the canvas is $2 \, m$ in width. (in $m$) (Take $\pi = \frac{22}{7}$)

$A$ brick measures $20 \, cm$ by $10 \, cm$ by $7.5 \, cm$. How many bricks will be required to construct a wall $25 \, m$ long,$2 \, m$ high,and $0.75 \, m$ thick?

Vedclass Test Series

Exam Paper Generator

Online Exam Module