Answer:
10
Step-by-step explanation:
The given is a special right triangle with angle measures as follows:
45-45-90
The side lengths for this special right triangle are represented as follows:
a (the side length that sees angle measure 45)
a (the side length that sees angle measure 90)
İn the image we can see that one of the side length that sees angle measure 45 is 10
so c, the side length that sees angle measure 90 (hypotenuse),
is equal to
10
The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.
<h3>What is the Surface Area of a Box?</h3>The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.
<h3>What is the Surface Area of a Box?</h3>SA = 2(lw + lh + hw), where:
The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:
The surface area to be covered = surface area of the box - area of the bottom rectangular face
The surface area to be covered = 2(lw + lh + hw) - (l)(w)
l = 26
w = 15
h = 8
Substitute
The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =
The surface area to be covered = 1436 - 390 = 1,046 cm
Area of one tile = 1 cm square
Number of tiles needed = 1,046/1
Number of tiles needed = 1,046 tiles.
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