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2 years ago

Daniel is constructing boxes in the shape of triangular prism. How much cardboard is needed to make each box

Mathematics

1 answer:

tigry1 [53]2 years ago

8 0

Answer:

Area of cardboard required = 468 cm²

Step-by-step explanation:

Area of the cardboard required = Surface area of the triangular prism

Surface area of the triangular prism = Area of the lateral sides + Area of the triangular sides

Area of the one triangular side = $\frac{1}{2}(\text{Base)}(\text{Height})$

= $\frac{1}{2}(12)(9)$

= 54 cm²

Area of lateral sides = Perimeter of the triangular base × Height

Perimeter of the triangular base = 9 + 12 + 15

= 36 cm

Now area of the lateral sides = (36) × 10

= 360 cm²

Surface area of the prism = 360 + 2(54)

= 360 + 108

= 468 cm²

Therefore, area of cardboard required for each box = 468 cm²

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Answer:

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Step-by-step explanation:

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Looks like the PMF is supposed to be

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which is kinda weird, but it's not entirely clear what you meant...

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Next,

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$\mathbb P(Y=y)=\begin{cases}\dfrac c3&\text{for }y=2\\\\\dfrac c6&\text{for }y=5\\\\\dfrac c3&\text{for }y=26\\\\0&\text{otherwise}\end{cases}$

Part (5) is incomplete, so I'll stop here.

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