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vagabundo [1.1K]
3 years ago
5

Find the total surface area of these solids

Mathematics
1 answer:
12345 [234]3 years ago
4 0
<h2>Step-by-step explanation:</h2><h3>We firstly find the surface area of only one face of the cube:</h3><h3>Sa=a²</h3><h3>Sa=1.2²cm</h3><h3>Sa=1.44cm²</h3>

<h2>Since the cube has 6 faces we multiply the surface area of one face(144cm²) with 6</h2>

Area(cube)=1.44cm²*6

=8.64cm²

<h2>Same thing with the prism but we have to find the area of one of his triangle face and rectangle face</h2>

S(triangle)=5mm*4mm*1/2

=10mm²

S(rectangle)=7mm*5mm=35mm²

<h2>The prism has 2 triangle faces and three rectangle faces so we multiply the area by those numbers and then we add those together to get the final area</h2>

S=10mm²*2+35mm²*3

S=20+105

S=125mm²

<h3><em>Hope this helped..</em></h3><h3 /><h3><em>Hope this helped..Brainliest pls..</em></h3>
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Answer:

40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

x + 55

x + 65

x + 120

The sum of all angles in a quadrilateral = 360°.

Therefore, (x + 55) + (x + 65) + (x + 120) = 360

Solve for x

x + 55 + x + 65 + x + 120 = 360

3x + 240 = 360

3x + 240 - 240 = 360 - 240

3x = 120

\frac{3x}{3} = \frac{120}{3}

x = 40

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

x + 55 = 40 + 55 = 95

x + 65 = 40 + 65 = 105

x + 120 = 40 + 120 = 160

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