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-BARSIC- [3]
3 years ago
10

Dmitri wants to cover the top and sides of the box shown with glass tiles that are 5mm square. How many tiles does he need? ( Th

e length is 15cm, the width is 20cm and the height is 9cm).
Mathematics
2 answers:
ycow [4]3 years ago
5 0

Answer:

372

Step-by-step explanation:

We are given that the dimensions of the box are,

Length = 15 cm, Width = 20 cm and Height = 9 cm.

We know that the box represents a cuboid.

Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H

Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9

i.e. Surface area = 300 + 270 + 360

i.e. Surface area = 930.

Thus, the surface area of the box is 930 cm² i.e. 9300 mm².

Further, the sides of the tiles are 5 mm and the tile represents a square.

So, the surface area of the tile = 5 × 5 = 25 mm².

This gives us that,

Number of tiles required to cover the box = \frac{9300}{25} = 372.

Hence, Dmitri requires 372 tiles to cover the box.

Kitty [74]3 years ago
5 0
The Surface Area = lw<span> + 2</span>lh<span> + 2</span><span>wh;
The Surface Area = 15*20 + 2*15*9 + 2*20*9;
The Surface Area = 300 + 270 + 360;
The Surface Area = 570 + 360;
The Surface Area = 930cm^2;
The surface of glass tile is 5 </span>× 5 = 25 cm^2;
<span>Then, 930 </span>÷ 25 = 37.2;
<span>He need 38 tiles to cover the top and sides of the box shown.</span>
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