The volume of a cube having sides 1.2 ,m is a | vedclass

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

Question

(B) The side length of the cube is $l = 1.2 \,m$.Converting the side length to centimeters: $l = 1.2 	imes 10^2 \,cm = 120 \,cm$.The volume of the cu

Vedclass · Accepted Answer

$1.7$

Vedclass · Answer

(B) The side length of the cube is $l = 1.2 \,m$.Converting the side length to centimeters: $l = 1.2 	imes 10^2 \,cm = 120 \,cm$.The volume of the cube is given by $V = l^3 = (120 \,cm)^3 = 1,728,000 \,cm^3$.This can be written as $V = 1.728 	imes 10^6 \,cm^3$.According to the rules of significant figures,the result of a calculation should have the same number of significant figures as the measurement with the least number of significant figures.The given side length $1.2 \,m$ has $2$ significant figures.Therefore,the volume should be rounded to $2$ significant figures.Rounding $1.728$ to $2$ significant figures gives $1.7$.Thus,the volume is $1.7 	imes 10^6 \,cm^3$.

The volume of a cube having sides $1.2 \,m$ is appropriately expressed as ........... $\times 10^6 \,cm^3$.

Similar Questions

Write and explain the rules for determining significant figures with examples.

The radius of a circle is $2.12 \ m$. Its area according to the rule of significant figures is ......... $m^2$.

$A$ person measures the mass of $3$ different particles as $435.42 \ g$,$226.3 \ g$,and $0.125 \ g$. According to the rules for arithmetic operations with significant figures,the sum of the masses of the $3$ particles will be: (in $g$)

What is a significant number? What is a significant digit?

What are significant figures? What are significant digits? Explain with examples.

Vedclass Test Series

Exam Paper Generator

Online Exam Module