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3 years ago

Use the net to find the lateral area of the prism.

Mathematics

2 answers:

Gnesinka [82]3 years ago

8 0

Answer:

The lateral area = 450 mm²

Step-by-step explanation:

The lateral area of any prism is equal to the areas of the sides faces

∵ The base of the prism is triangle

∴ It has 3 side faces

∵ The lengths of the side faces are 5 , 12 , 13 and their height is 15

∴ The lateral area = (5 × 15) + (12 × 15) + (13 × 15)

= 75 + 180 + 195 = 450 mm²

prisoha [69]3 years ago

8 0

Answer:

The correct answer option is 450 $mm^2$ .

Step-by-step explanation:

We are given a diagram of a prism with side measurements of 5 mm, 12 mm, 13 mm and a height of 15 mm and we are to find the lateral area of this prism.

We know that the formula of the lateral area of a prism is given by:

Lateral area of prism = perimeter × height

Substituting the given values in the formula to get:

Lateral Area = ( 5 + 12 + 13) x 15 = 450 mm^2

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3 years ago

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KiRa [710]

Answer:

$A=64\sqrt{3}\ cm^2$

Step-by-step explanation:

we know that

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$P=3b$

where

b is the length side of the equilateral triangle

we have

$P=48\ cm$

substitute

$48=3b$

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$b=48/3\\b=16\ cm$

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The formula of area applying the law of sines is equal to

$A=\frac{1}{2}b^2sin(60^o)$

substitute the value of b

$A=\frac{1}{2}(16)^2sin(60^o)$

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$A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})$

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3 years ago

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zvonat [6]

Answer:

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Option

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1 year ago

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