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Natalka [10]
3 years ago
6

Xavier is using square tiles to cover a table top. The tiles are 1 1/2in. On each side. The table top is 7 1/2 inches wide and 1

3 1/2 inches long. How many tiles dose Xavier need to use to cover the whole table?
Mathematics
2 answers:
GREYUIT [131]3 years ago
8 0

Answer:

._________________________*___*___________________

Arte-miy333 [17]3 years ago
6 0

Answer:

45 Tiles

Step-by-step explanation:

7 1/2 × 13 1/2 = 101 1/4

Area = 101 1/4

1 1/12 × 1 1/2 = 2 1/4

Tile Area = 2 1/4

101 1/4 ÷ 2 1/4 = 45

<em>good luck, i hope this helps :)</em>

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
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Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

  • A cuboid has 6 faces.
  • A cuboid contains 8 vertices.
  • A cuboid contains 12 edges .
  • The total surface area of a cuboid is

           = 2(length×breadth+breadth×height+length×height) square units

  • The dimension of a cuboid is written as length×breadth×height.
  • The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

=[x\times 2x\times (x+2)]   cubic inches

=[2x^2(x+2)]     cubic inches

=(2x^3+4x^2)     cubic inches

According to the problem,

2x^3+4x^2=192

\Rightarrow 2x^3+4x^2-192=0

\Rightarrow 2(x^3+2x^2-96)=0

\Rightarrow (x^3+2x^2-96)=0

\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0

\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0

\Rightarrow (x-4)(x^2+6x+24)=0

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

 length=(2×4) inches=8 inches

 and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

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3 years ago
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