Tomato plant

Bruce's grandmother loves to use fresh tomatoes in her homemade pasta sauce. Bruce thought she might like to grow her own, so he bought her a planter box and a tomato plant. The planter box is shaped like a rectangular prism. It is 12 1/2 inches long, 10 inches wide, and has a volume of 1,875 cubic inches.

What is the height of the planter box?

Correct answer:

h =  15 in

Step-by-step explanation:

$$\begin{gathered} a=12\frac{1}{2}=12+\frac{1}{2}=\frac{12\cdot 2+1}{2}=\frac{24+1}{2}=\frac{25}{2}=12.5\text{in} \\ b=10\text{in} \\ V=1875{\text{in}}^3 \\ V=a\cdot b\cdot h \\ h=\frac{V}{a\cdot b}=\frac{1875}{\frac{25}{2}\cdot 10}=15\text{in} \end{gathered}$$

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