# How do you find the area and the volume of the box Length = 5, Width = 30, Height = 40?

##### 1 Answer
Feb 11, 2017

The total surface area of the box is $3 , 100$.
The volume of the box is $6 , 000$.

#### Explanation:

The surface area of a box is calculated using the formula:

$A = 2 \left(l \times w\right) + 2 \left(w \times h\right) + 2 \left(h \times l\right)$

Using the given data:

$A = 2 \left(5 \times 30\right) + 2 \left(30 \times 40\right) + 2 \left(40 \times 5\right)$

$A = 2 \left(150\right) + 2 \left(1200\right) + 2 \left(200\right)$

$A = 300 + 2400 + 400$

$A = 3 , 100$

The volume of a box is calculated using the formula:

$V = l \times w \times h$

Using the given data:

$V = 5 \times 30 \times 40$

$V = 5 \times 1200$

$V = 6 , 000$