Question

each cube inside the rectangular prism has an edge length 3/4 inch.What is the volume of the rectangular prism?

Answer 1

Answer:

$\frac{27}{64}n\,\,cubic\,\, inches$

Step-by-step explanation:

Given: Edge length of cube = $\frac{3}{4}\,\,inch$

To find: Volume of the rectangular prism

Solution:

A cube is a three-dimensional solid object which has 12 edges, 8 vertices and 6 faces.

A rectangular prism is a solid three-dimensional object which has six faces that are rectangles.

Let n denotes number of cubes inside the rectangular prism

Volume of one cube = $(edge)^3=(\frac{3}{4})^3 =\frac{27}{64}$  cubic inches

So, volume of rectangular prism = volume of n cubes =  $\frac{27}{64}n\,\,cubic\,\, inches$