What’s the volume of this triangular prism ?

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

8 0

Answer:

157.5

Step-by-step explanation:

The first step is to find the area of the triangular base. The formula for the area of a triangle is bh/2, or in this case 5×7/2=17.5. Multiplying this by the length of the prism, you get 9×17.5=157.5. Hope this helps!

iris [78.8K]3 years ago

4 0

Answer: 157.5

Step-by-step explanation: To get the volume of an object you must multiply the width x height ÷ it by 2 x length

Therefore 7 x 5 = 35 ÷ 2 = 17.5

17.5 x 9 = 157.5

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xxMikexx [17]

The angles ∠CFE and ∠AFB are vertically opposite angles. Then the value of x will be 6.

<h3>What is an angle?</h3>

Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

We know that the angle ∠DFE is 90°.

Then the sum of the angle ∠CFD and ∠DFE will be

∠CFD + ∠DFE = 27° + 90°

∠CFD + ∠DFE = 117°

Then the angles ∠CFE and ∠AFB are vertically opposite angles. Then we have

∠CFD = ∠DFE

Put the values

21x - 9 = 117

21x = 126

x = 6

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