Question

the volume of a cube is 2197 cm cube . find the length of the edge of the cube

Answer 1

volume=2197

volume of a cube is a³
so,a=³✓2197=13cm

Answer 2

Answer :


Given volume of cube = 2197 cubic cm

$as \: we \: know \: that \: volume \: of \: cube \: = \\ \\ (edge) {}^{3} \\ \\ therefore \\ \\ = > \: {(edge)}^{3} = 2197 \\ \\ = > write \: the \: numbers \: in \: exponental \: form \\ with \: an \: exponent \: of \: 3 \\ \\ = > {(edge)}^{ 3} = {13}^{3} \\ \\ since \: exponents \: are \: same \: set \: the \: bases \: equal \\ \\ therefore \\ \\ edge \: = 13 \: cm$