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3 years ago

Please help me, I'm trying to find total surface area!

Mathematics

1 answer:

4vir4ik [10]3 years ago

5 0

Find the total surface area of the solid.

The faces of this solid are

1 rectangle 8 cm × 20 cm;

1 rectangle 17 cm × 20 cm;

1 rectangle 15 cm × 20 cm;

2 triangular bases (right triangles). The area of each one is

(8 cm × 15 cm)/2.

Total surface area:

A = 8 × 20 + 17 × 20 + 15 × 20 + 2 × [ (8 × 15)/2 ]

A = 160 + 340 + 300 + 120

A = 920 cm^2 <——<span>— this is the answer.

I hope this helps. =)
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m_a_m_a [10]

Answer:

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Step-by-step explanation:

1) Label all values with x1 y1, x2 y2

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3 years ago

What are the answers ?

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3 years ago

Find the length of the line PA.

Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

$A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60$

The area of right triangle:

$A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30$

Use the Pythagorean theorem to calculate the length of RO:

$|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13$

The formula of an area of this right triangle is:

$A_T=\dfrac{1}{2}|RO||PA|$

Therefore we have the equation:

$\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62$

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3 years ago

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Verdich [7]

Answer:

Step-by-step explanation:

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3 years ago

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