A small cube has the volume shown. Its side length is 3.5 in. less than a second, larger cube. What is the volume of the larger cube? Volume:85 in^3

Question

asked Sep 9, 2023 73.6k views

2 Answers

Neolei · Answer 1 · 2023-09-09T23:21:35+0000

Answer:

$493.039 \;in^3$

Explanation:

If each side of the cube is
then the volume of the cube is given by
a^3

If Volume is
then each side
$a = \sqrt[3]{V}$

Here we are given the volume of the smaller cube as
$85\; in^3$

So each side of this cube =
$\sqrt[3]{85} = 4.396 \approx 4.4 \;in$

and each side of the larger cube
$= 4.4 + 3.5 = 7.9\;in$

Volume of larger cube
$= 7.9^3 = 493.039 \; in^3$