The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube? A.S=3√27 B.S=3+3+3 C.S= √27 D.S= 3 times 3 times 3

Question

asked Mar 5, 2018 77.7k views

2 Answers

Mrk Sef · Answer 1 · 2018-03-08T06:58:33+0000

Answer: A.
$S=\sqrt[3]{27}$

Explanation:

Given: The volume of cube = 27 cubic inches

We know that the formula to calculate the volume of acube is given by :-

$\text{Volume}=(S)^3$ , where S is the side of the cube.

To find the expression of the length of a side of cube , take cube root on both the sides , we get

$S=\sqrt[3]{V}\\\\\Righatwrrow\ S=\sqrt[3]{27}$

Hence, the expression represents s, the length of a side of the cube :
$S=\sqrt[3]{27}$