Cindi wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will she need if the box has a length of 20 width of 15 and height of 9
assuming the box dimensions are in cm, he will need
2(20)(15)+2(20)(9)+2(15)(9) = 1230
1230
To find the number of tiles needed to cover the top and sides of the box, we need to calculate the surface area of these areas.
Step 1: Calculate the surface area of the top:
The top of the box has dimensions of length 20 cm and width 15 cm, so the surface area of the top is 20 cm x 15 cm = 300 cm².
Step 2: Calculate the surface area of the sides:
There are four sides to consider: two sides with dimensions 20 cm x 9 cm (length x height), and two sides with dimensions 15 cm x 9 cm (width x height).
The surface area of the two sides with dimensions 20 cm x 9 cm is 2 x (20 cm x 9 cm) = 360 cm².
The surface area of the two sides with dimensions 15 cm x 9 cm is 2 x (15 cm x 9 cm) = 270 cm².
Step 3: Calculate the total surface area:
To find the total surface area, we add the surface area of the top and the surface area of the sides:
Total surface area = surface area of the top + surface area of the sides
Total surface area = 300 cm² + 360 cm² + 270 cm² = 930 cm²
Step 4: Calculate the number of tiles needed:
Since each tile is 1 cm², the number of tiles needed is equal to the total surface area in square cm:
Number of tiles needed = Total surface area / Area of each tile
Number of tiles needed = 930 cm² / 1 cm² = 930 tiles
Therefore, Cindi will need 930 glass tiles to cover the top and sides of the box.
To calculate the number of tiles needed to cover the top and sides of the box, we first need to find the area that needs to be covered.
For the top, it is simply the length multiplied by the width. In this case, the length is 20 cm and the width is 15 cm. So the area of the top is 20 cm * 15 cm = 300 cm^2.
For the sides, we need to find the area of all four sides of the box. Each side is a rectangle, so to find the area of one side, we multiply the length by the height. The length is 20 cm and the height is 9 cm. So the area of one side is 20 cm * 9 cm = 180 cm^2. Since there are four sides, the total area of the sides is 4 * 180 cm^2 = 720 cm^2.
To find the total area, we add the area of the top and the sides: 300 cm^2 (top) + 720 cm^2 (sides) = 1020 cm^2.
Now, we want to cover this area with 1 cm^2 tiles. To find the number of tiles needed, we divide the total area by the area of each tile. In this case, it's 1020 cm^2 / 1 cm^2 = 1020 tiles.
So Cindi will need 1020 glass tiles to cover the top and sides of the box.