The volume of a cube is $3375\, cm^{3}$. Find its edge and total surface area.
(N/A) Let the edge of the cube be $a$. The volume of a cube is given by $V = a^{3}$.
Given $a^{3} = 3375\, cm^{3}$.
Taking the cube root of both sides,$a = \sqrt[3]{3375} = 15\, cm$.
The total surface area of a cube is given by $TSA = 6a^{2}$.
$TSA = 6 \times (15)^{2} = 6 \times 225 = 1350\, cm^{2}$.
Thus,the edge is $15\, cm$ and the total surface area is $1350\, cm^{2}$.
Given $a^{3} = 3375\, cm^{3}$.
Taking the cube root of both sides,$a = \sqrt[3]{3375} = 15\, cm$.
The total surface area of a cube is given by $TSA = 6a^{2}$.
$TSA = 6 \times (15)^{2} = 6 \times 225 = 1350\, cm^{2}$.
Thus,the edge is $15\, cm$ and the total surface area is $1350\, cm^{2}$.
Explore More
Similar Questions
Find the total surface area of a hemisphere of radius $42 \, cm$. (in $cm^2$)
Easy
View SolutionThe radius of a sphere is $6\, cm$. It is melted and drawn into a wire of diameter $1\, cm$. Find the length of the wire (in $m$).
Medium
View SolutionFind the surface area and volume of a sphere of diameter $28 \, cm$.
Medium
View Solution$A$ storage tank is in the form of a cube. When it is full of water, the volume of water is $15.625 \, m^3$. If the present depth of water is $1.3 \, m$, find the volume of water already used from the tank (in $m^3$).
Medium
View SolutionThe diameter of a solid hemisphere is $7 \, cm$. Find its curved surface area and total surface area (in $cm^2$).
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo