A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4.

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

The volume of the original prism is calculated by multiplying the area of the base by the height,

volume = (8 cm²) (6 cm) = 48 cm³

By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,

x / 48 cm³ = (5/4) ³

The value of x from the equation above is equal to 93.75 cm³.