Three metal cubes with edges $6\, cm$,$8\, cm$,and $10\, cm$ respectively are melted together and formed into a single cube. Find the side of the resulting cube (in $cm$).

The area of a rectangle is $460 \, m^2$. If the length is $15 \%$ more than the breadth,what is the breadth of the rectangular field? (in $metres$)

The area of an equilateral triangle,each of whose sides measures $2 \sqrt{3} \text{ cm}$ is

The area of a sector of a circle of radius $5 \, cm$,formed by an arc of length $3.5 \, cm$,is (in $cm^2$)

Three medians $AD, BE$ and $CF$ of $\Delta ABC$ intersect at $G.$ The area of $\Delta ABC$ is $36 \text{ cm}^2$. Then the area of $\Delta CGE$ is (in $\text{cm}^2$)

$A$ ladder is placed so as to reach a window $63 \ cm$ high. The ladder is then turned over to the opposite side of the street and is found to reach a point $56 \ cm$ high. If the ladder is $65 \ cm$ long,then the width of the street is........$cm$