Question

Ara is lining the bottom and lateral faces of a drawer with liner paper. The dimensions of the inside of the drawer are 1 yard, 29 inches, and 9 inches. What is the total area in square inches being covered? The total area being covered is square inches.

Answer 1

The total area being covered is 3,528 square inches

Explanation:

Mathematically, we can deduce the shape of the drawer using the dimensions.

With the dimensions given, we can infer that the drawer is shaped like a match box which thus is in the shape of a cuboid.

We can then proceed to find the area of the cuboid.

Mathematically, the area of a cuboid can be calculated as;

2(lb + lh + bh)

Kindly note we need to have a uniform unit before we proceed to calculate the area.

Mathematically, 1 yard is 36 inches

So the sides of the drawer measures 36 inches by 29 inches by 9 inches

Thus, the area is thus;

2( 29(9) + 36(29) + 9(36))

= 2(261 + 1044 + 324)

= 2(1629)

So the area of the drawer is 3,528 square inches