Question

Find the volume of the prism below if each cube has a side length of 1/8 of a foot

Answer 1

Answer:

$Volume = \frac{3}{128}ft^3$

Step-by-step explanation:

Given

$Length = 1\ cube$

$Width = 3\ cubes$

$Height = 4\ cubes$

$1\ cube = \frac{1}{8}ft$

Required

The volume of the cube

Start by calculating the dimension in ft

$Length = 1\ cube$

$Length = 1 * \frac{1}{8}ft$

$Length = \frac{1}{8}ft$

$Width = 3\ cubes$

$Width = 3 * \frac{1}{8}ft$

$Width = \frac{3}{8}ft$

$Height = 4\ cubes$

$Height = 4 * \frac{1}{8}ft$

$Height = \frac{1}{2}ft$

So, the volume is:

$Volume = Length * Width * Height$

$Volume = \frac{1}{8}ft * \frac{3}{8}ft * \frac{1}{2}ft$

$Volume = \frac{1}{8} * \frac{3}{8} * \frac{1}{2}ft^3$

Using a calculator, we have:

$Volume = \frac{3}{128}ft^3$