Question

the box of cereal shown below has a volume of 152 in³. the area of the base is 26 in². what is the height of the box? 8 cubic in 8 cubic in 17 cubic in 21 cubic in

Explanation:

Step1: Recall volume formula for prism

The volume \( V \) of a prism is \( V = \text{Base Area} \times \text{Height} \), or \( V = A_b \times h \).

Step2: Rearrange to solve for height

Isolate \( h \): \( h = \frac{V}{A_b} \)

Step3: Substitute given values

Substitute \( V = 192 \, \text{in}^3 \), \( A_b = 24 \, \text{in}^2 \):
\( h = \frac{192}{24} = 8 \)

Answer:

8 cubic in