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oee [108]
3 years ago
10

What is the volume of the prism below

Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0

Answer:

18 cm³

Step-by-step explanation:

The volume of any prism is the area of the base multiplied by the height of the prism. In this case, the sides are the bases since they are of the same shape.  

V= base area x height

In this case, the base is a triangle. The area of a triangle is

0.5 x length of the triangle x height of the triangle

The height is basically the distance between both bases, in this case, both triangles.

V= (0.5x4x3)x3 = 18 cm³

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One number is 6 more than a second number, the sum of the two numbers is 330. what are the numbers?
maksim [4K]

Let's have the first number, the larger number, be <em>x</em>.  We'll have the second, smaller number be <em>y</em>.

We know that x = y + 6, since x is 6 greater than y.

We also know that 330 = x + y.

Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.

Now all we need to do is simplify the equation.  First, we subtract 6 from both sides:

330 - 6 = 324

2y + 6 - 6 = 2y.

So we have 324 = 2y.  Then we divide both sides by 2 to get:

162 = y

Plug in y = 162 into the equation x = y + 6 to get:

x = 162 + 6

x = 168

Let's check to make sure our answer is right.  168 is 6 more than 162.  162 + 168 equals 330.  So our two numbers are 168 and 162.

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