Question

what is the capacity for the container below? (assume a = 15 in. give answers in the u.s. system to the nearest tenth of a gallon.) gal

Explanation:

Step1: Calculate the volume of the cube

The volume \( V \) of a cube is given by \( V=a^{3} \). Given \( a = 15\) in, so \( V=15^{3}=15\times15\times15 = 3375\) in³.

Step2: Convert cubic - inches to gallons

We know that \( 1\) gallon \( = 231\) in³. Let \( x\) be the volume in gallons. Then \( x=\frac{V}{231}\). Substitute \( V = 3375\) in³ into the formula: \( x=\frac{3375}{231}\approx14.6\)

Answer:

\(14.6\)