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3 years ago

Jamie is trying to work out the surface area of the cuboid below. Spot any mistakes and write the correct answer.

Mathematics

1 answer:

umka21 [38]3 years ago

7 0

Step-by-step explanation:

The dimensions of the cuboid are 5 cm, 7 cm and 9 cm.

The formula for the surface area of the cuboid is as follows :

$A=2(lb+bh+hl)$

We have,

b = 9 cm, l = 7 cm and h = 5 cm

So,

$A=2(9\times 7+9\times 5+7\times 5)\\\\A=2\times 143\\\\A=286\ cm^2$

Jamie forgets to multiply 143 by 2 as the formula for surface area contains 2 as well.

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3 years ago

Find the length of diagonal XU in the hexagon below. Round your solution to 2 decimal points

SpyIntel [72]

Answer:

The length of diagonal XU is 6.40 units

Step-by-step explanation:

* Lets explain how to find the distance between two points

- The rule of the distance between two points $(x_{1},y_{1})$

and $(x_{2},y_{2})$ is:

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

* Lets solve the problem

-From the attached figure:

- The coordinates of the vertex X are (2 , 2)

- The coordinates of the vertex U are (-2 , 7)

∴ The point $(x_{1},y_{1})$ = (2 , 2)

∴ The point $(x_{2},y_{2})$ = (-2 , 7)

∴ $x_{1}=2,x_{2}=-2$

∴ $y_{1}=2,y_{2}=7$

∵ $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∴ $d=\sqrt{(-2-2)^{2}+(7-2)^{2}}=\sqrt{(-4)^{2}+(5)^{2}}=\sqrt{16+25}=\sqrt{41}$

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