Question

Find the volume and surface area of a rectangular box 4ft by 3.2 ft by 7 ft.

Answer 1

The volume of the rectangular box is;

`89.6\text{ }ft^3`

The Surface area of the rectangular box is;

`126.4\text{ }ft^2`

Step-by-step explanation:

Given a rectangular box with dimensions;

`\begin{gathered} l=4ft \\ b=3.2ft \\ h=7ft \end{gathered}`

Recall that the volume of a rectangular box can be calculated using the formula;

`V=l* b* h`

Substituting the given values;

`\begin{gathered} V=4*3.2*7\text{ }ft^3 \\ V=89.6\text{ }ft^3 \end{gathered}`

Therefore, the volume of the rectangular box is;

`89.6\text{ }ft^3`

The surface area of a rectangular box can be calculated using the formula;

`S=2(lb+bh+lh)`

Substituting the given values;

`\begin{gathered} S=2(4(3.2)+3.2(7)+4(7)) \\ S=2(63.2) \\ S=126.4\text{ }ft^2 \end{gathered}`

Therefore, the Surface area of the rectangular box is;

`126.4\text{ }ft^2`