Question

An artist wants to cover the entire outside of a rectangular box with mosaic tiles. The dimensions of the box shown below are given in centimeters. If each tile is exactly one square centimeter, and the artist lays the tiles with no space between them, how many tiles will he need?

1) 75
2) 96
3) 108
4) 126
5) 150

Answer 1

To find the number of tiles needed to cover the entire outside of the rectangular box, we need to find the surface area of the box. The surface area of a rectangular box is given by the formula: Surface Area = 2lw + 2lh + 2wh. In this case, the dimensions of the box are given as 5 cm, 6 cm, and 7 cm. Plugging these values into the formula, we get: Surface Area = 2(5)(6) + 2(5)(7) + 2(6)(7) = 60 + 70 + 84 = 214 cm². Since each tile is 1 cm², the artist will need 214 tiles to cover the entire outside of the box.

Step-by-step explanation:

To find the number of tiles needed to cover the entire outside of the rectangular box, we need to find the surface area of the box. The surface area of a rectangular box is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Where l, w, and h represent the length, width, and height of the box, respectively. In this case, the dimensions of the box are given as 5 cm, 6 cm, and 7 cm. Plugging these values into the formula, we get:

Surface Area = 2(5)(6) + 2(5)(7) + 2(6)(7) = 60 + 70 + 84 = 214 cm²

Since each tile is 1 cm², the artist will need 214 tiles to cover the entire outside of the box.