CPM Homework Help : CC1 Problem 9-61

Find the volume and surface area of a box with dimensions of $5\frac{1}{2}$ cm by $4\frac{1}{3}$ cm by $1\frac{1}{4}$ cm.

Hint 1:

Drawing the box may help you picture it.

Hint 2:

The volume of a box is (area of base) (height), or in this case (length) (width) (height).

Hint 3:

The surface area of a box is the sum of the areas of its individual faces.

Hint 4:

Remember to multiply mixed numbers, you must first convert them to fractions greater than one.

A box, with height: 1 and 1 fourth cm, length: 5 and one half cm, and width: 4 and one third cm.

Answer:

$\text{Volume}\ =\ 29\frac{19}{24}\;\text{cm}^3$
$\text{Surface Area}\ =\ 72\frac{1}{4}\;\text{cm}^2$