Question

Nico completely fills an aluminum pan in the shape of a rectangular prism with a base area of 51 cm² and a height of 6 cm with spaghetti sauce. Nico pours all of its contents into a second rectangular prism-shaped pan that has a height of 9 cm. The spaghetti sauce completely fills the second rectangular prism-shaped pan. What is the base area of this second pan? Enter your answer in the box. cm²

Answer 1

34 cm²

Explanation:

To find the base area of the second pan, we need to use the formula for the volume of a rectangular prism: volume = base area × height.

In this case, the first pan has a base area of 51 cm² and a height of 6 cm. So the volume of the sauce in the first pan is 51 cm² × 6 cm = 306 cm³.

Since the sauce completely fills the second pan, the volume of the sauce in the second pan is also 306 cm³.

We are given that the height of the second pan is 9 cm.

To find the base area of the second pan, we rearrange the formula to solve for base area: base area = volume / height.

Plugging in the values, we have base area = 306 cm³ / 9 cm = 34 cm².

Therefore, the base area of the second pan is 34 cm².