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.
Answer:
n = -13
Step-by-step explanation:
19 + 10n = 7n - 20
Subtract 7n from each side
19 + 10n-7n = 7n-7n - 20
19+3n = -20
Subtract 19 from each side
19+3n -19 = -20-19
3n = -39
Divide each side by 3
3n/3 = -39/3
n = -13
