Find the volume of the figure

The answer is 288 cm^3.

Step-by-step explanation:

Step 1

find the missing sides

all the sides are not found so you have to use subtraction to find the length of the rectangular prism by subtracting 8 from 12 you get 4.

4 is the missing length of the square. Now that we have one side of the square we know that all the other sides are 4 too. So now we have found the missing sides.

Step 2

find the volumes then add them together

the formula is V = length x width x height

So you have to substitute the numbers for both prisms in the equation.

That would be 8 x 4 x 4 = 128 cm^3

and 10 x 4 x 4 = 160 cm^3

lastly, add the two products together (160 + 128) which equals 288 cm^3.

5+2x=a

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proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc