Question

Help me I need some help in math

Answer 1

D. 40/27 cubic in

Step-by-step explanation

The volume of one cube is:

`V_{\text{cube}}=\mleft((1)/(3)\mright)^3=(1)/(27)in^3`

We can see that in the orange side of the prism there are 20 squares, so there are 20 cubes. There's another row of cubes, so in total, this prism has 40 cubes. The volume of the prism is 40 times the volume of a cube:

`V_{\text{prism}}=40\cdot(1)/(27)=(40)/(27)in^3`