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.