Question

How do you calculate the volume in cubic inches of a rectangular solid box that is 12 in long, 8 in wide, 6 in tall?

Answer 1

Hint: A rectangular solid is also called a cuboid; a cuboid is a three-dimensional figure, so it has height, length and width. The volume of a cuboid is defined as the space inside it, it is equal to the width of the cuboid multiplied with its length multiplied with the height, that is volume is equal to the product of the height, base and height of the cuboid. As we know all the required values for finding out the volume of the rectangular solid box, we can find it easily by putting the known values in the formula for calculating the volume.

Complete step-by-step answer:
Given ,
A rectangular solid is also called a cuboid has
length = 12 , width = 8 and height = 6
 $
  volume = \,height \times length \times width \\
   \Rightarrow volume = 6 \times 12 \times 8 \\
   \Rightarrow volume = 72 \times 8 \\
   \Rightarrow volume = 576 \;
  $
Hence the volume of a rectangular solid box that is 12 in long, 8 in wide, 6 in tall is 576 cubic inches.
So, the correct answer is “576 cubic inches”.

Note: In 2 dimensions, we have squares and rectangles that are similar to each other but have one property different that all the sides of a square are equal but in a rectangle only the opposite sides are equal. Similarly, in 3 dimensions, a cube and cuboid are similar in shape but a cube has all the sides equal whereas only opposite sides are equal in the cuboid.