Maria is covering an entire box with 1-in. mosaic tiles and wants to find out how many square inches of mosaic tiles will cover the entire box. (3 in h, 9.5 in length, 4 in w) Which statement is correct about the amount of mosaic tiles that will cover the entire box? The amount of mosaic tiles covering the box is the surface area, which is 157 in.2. The amount of mosaic tiles covering the box is the surface area, which is 114 in.2. The amount of mosaic tiles covering the box is the volume, which is 157 in.3. The amount of mosaic tiles covering the box is the volume, which is 114 in.3.
Question
Answer:
The mosaic tile is 1 inch in size. Which means it has a length, width and a height equal to 1 inch.Maria wants to cover the box with the tiles. Hence the surface area will be considered for this problem. If the box was to be filled with the tiles, then the volume would have been considered. So, we have to find the surface area of the box.
Surface Area of box = 2(l*w) + 2(w*h) + 2(l*h)
= 2(9.5 x 4) + 2(4 x 3) + 2(9.5 x 3)
= 157 square inches
Since each tile is inch in length and width, so the area of each tile is 1 square inches.Thus Maria needs 157 Mosaic Tiles to cover the entire box.
So the correct option is the 1st one. The amount of mosaic tiles covering the box is the surface area, which is 157 in.2.
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10 months ago
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