Question

Test ContentQuestion 110 PointsA box is 36 inches long, 18 inches wide, and 6 inches deep. How many cubic feet are in the box?A 5 cubic feetB4.5 cubic feet© 3 cubic feetD2.25 cubic feet

Answer 1

The box is 2.25 cubic feet (option D)

Step-by-step explanation:

length of the box = 36 inches

width = 18 inches

depth = height = 6 inches

To get the volume of the box in cubic feet, we need to first convert the dimensions from iches to feet to make it easy to solve.

conversion from iches to ft:

12 inches = 1 ft

36 inches = 36/12

= 3 ft

18 inches = 18/12

width = 18 inches = 3/2 ft

6 inches = 6/12

height = 6 inches = 1/2 ft

The box is a rectangular prism

Volume of rectangular prism = length × width × height

`\begin{gathered} \text{Volume of the rectangular prism = 3 ft }*\text{ }(3)/(2)\text{ ft }*\text{ }(1)/(2)\text{ ft} \\ \text{Volume of the rectangular prism = 9/4 ft}^3\text{ = }2.25ft^3 \\ \\ \\ Volume\text{ of the box = 2.25 cubic f}eet\text{ (option D)} \end{gathered}`