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3 years ago

How do you do this geometry problem? Answer ASAP please!

Mathematics

1 answer:

o-na [289]3 years ago

4 0

I am currently doing this right now, make them equal each other, then follow what i do:

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Find the volume and surface area of the prism below

Nata [24]

Answer:

a) The volume of the prism is 660 mm³

b) The surface area of the prism is 514 mm²

Step-by-step explanation:

The given prism for which we are to find the volume and the surface area shows the dimensions of the sides

a) To find the volume, we can consider the prism as a composite figure as follows;

The topmost cuboid with dimensions (15 - 2×3) mm, 3 mm, and 9 mm

Therefore, the volume of the topmost cuboid, V₁, is given as follows;

V₁ = 5 mm × 3 mm × 9 mm = 135 mm³

The volume of the cuboid on which the top cuboid rest, V₂, is given as follows;

V₂ = 15 mm × 5 mm × 7 mm = 525 mm³

The volume of the prism, V = V₁ + V₂

Therefore, we have;

V =135 mm³ + 525 mm³ = 660 mm³

The volume of the prism, V = 660 mm³

b) The surface area of the prism is given as follows;

The surface area of the top cuboid, SA₁, is given as follows;

SA₁ = 9 mm × 5 mm + 2 × 3 mm × 9 mm + 2 × 3 mm × 5 mm = 129 mm²

The surface area of the larger cuboid, SA₂, is given as follows;

SA₂ = 2 × 15 mm × 7 mm + 2 × 5 mm × 7 mm + 2 × 3 mm × 5 mm + 15 mm × 5 mm = 385 mm²

The surface area of the prism, SA = SA₁ + SA₂

∴ The surface area of the prism, SA = 129 mm² + 385 mm² = 514 mm²

4 0

2 years ago

What is the length of the line?

elixir [45]

If you count the squares or units I got 12.

4 0

2 years ago

the scores on your first two history tests were 82 and 95. by how much points did you improve on your second test?

nikklg [1K]

Improved by 13 on your second test.

5 0

2 years ago

Julie says I added three odd numbers and my answer was 50 explain why Julie cannot be correct

ANTONII [103]

Julie cannot be right. That's because if you add three odd numbers together, <em>you always get an odd number. </em>The number 50 is an Even number.

Let's try adding 3 odd numbers together a couple of times...
3 + 3 + 3 = 9
5 + 1 + 5 = 11
7 + 3 + 5 = 15
We tried 3 examples, we could not get any even number. So, Julie's claim is wrong.

8 0

3 years ago

Read 2 more answers

Solve. 8x² + 5 = 35 Round to the nearest hundredth. Enter your answers in the boxes. The solutions are approximately and .

lora16 [44]

Answer:

x=1.94

x = - 1.94

Step-by-step explanation:

8x² + 5 = 35

Subtract 5 from each side

8x² + 5-5 = 35-5

8x² = 30

Divide each side by 8

8x² /8 = 30/8

x² = 15/4

Take the square root of each side

sqrt( x²) = ±sqrt(15/4)

x = ±sqrt(15/4)

x=1.93649

x = - 1.93649

To the nearest hundredth

x=1.94

x = - 1.94

4 0

3 years ago

Read 2 more answers