Question

Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube.

Answer 1

10 half unit cubes

Volume = 1 1/4 unit³

Explanation:

Volume of rectangular prism = Length * width * height

From the dimensions given in the picture :

Volume = 1 * 1/2 * 2 1/2

Volume = 1 * 1/2 * 5/2

Volume = 5/4 unit³

Volume = 1 1/4 unit³

Number of half unit cube per unit³ = 8

Total number of half unit cubes that will fill it:

Number of half unit cube per unit³ * volume

8 * 5/4

= 40 /4

= 10