Question

A box in the shape of a rectangular prism is shown. The box contains 1/2 inch number cubes.
What is the volume of the box?

Answer 1

Answer:

20 5/8 in³

Step-by-step explanation:

Volume= abc, product of 3 dimensions

• Volume = 1 1/2 in × 2 1/2 in × 5 1/2 in =
• 3/2 in × 5/2 in × 11/2 in =
• 165/8 in³ = 20 5/8 in³

Number of cubes= 3 × 5 × 11 = 165

Answer: volume is 20 5/8 in³

Answer 2

Answer:

The volume of this rectangular prism is 20.625 inches cube.

Steps of solution:

We know that,

The formula of the volume of rectangular prism= Length X Width X Height ( L X W X H ) .

Here,

The length ( L ) of cuboid = 2 X 1/2 inches

= 5/2 inches

The width ( W ) of cuboid = 1 X 1/2 inches

= 3/2 inches

The height ( H ) of the cuboid = 5 X 1/2 inches

= 11/2 inches

The volume of cuboid = L X W X H

= 5/2 inches X 3/2 inches X 11/2 inches

= 165/8 inches cube

= 20.625 inches cube

Therefore ,

The volume of rectangular prism is 20.625 inches cube.